# Quiz 1: Representing Motion

Physics & Astronomy

Q 1Q 1

In the product A ∙ B ∙ C, A has 5 significant figures, B has 2 significant figures, and C has 3 significant figures. How many significant figures does the product have?
A)2
B)3
C)4
D)5
E)10

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Multiple Choice

A

Q 2Q 2

In the quotient , A has 5 significant figures, B has 2 significant figures, and C has 3 significant figures. How many significant figures does the quotient have?
A)2
B)3
C)4
D)0
E)1

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Multiple Choice

A

Q 3Q 3

In the sum A + B + C, A is accurate to 5 decimal places, B is accurate to 2 decimal places, and C is accurate to 3 decimal places. What is the correct number of decimal places in the sum?
A)2
B)3
C)4
D)5
E)10

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A

Q 4Q 4

In the difference A - B - C, A is accurate to 5 decimal places, B is accurate to 2 decimal places, and C is accurate to 3 decimal places. What is the correct number of decimal places in the difference?
A)2
B)3
C)4
D)5
E)0

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Q 11Q 11

Which of the following numbers has 4 significant figures; which has 5 significant figures?
(a)3001
(b)0.00370
(c)4774.00
(d)29.290

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Essay

Q 12Q 12

In a parallel universe, the quantity π has the value 3.14049… . Express π in that universe to
(a)four significant figures
(b)five significant figures.

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Essay

Q 13Q 13

The metric system is preferred over the British system in science for the following main reason.
A)The metric system is more precise than the British system.
B)Metric quantities can be defined more accurately than the quantities in the British system.
C)Metric quantities are natural whereas British quantities are invented.
D)Conversions between metric quantities are especially easy because they are all related by factors of ten.

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Multiple Choice

Q 14Q 14

A reasonable estimate for the mass of a typical female college student is
A)20 kg.
B)50 kg.
C)150 kg.
D)200 kg.

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Q 15Q 15

A reasonable estimate for the height of an ordinary adult male is
A)50 cm.
B)70 cm.
C)200 cm.
D)300 cm.

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Multiple Choice

Q 16Q 16

A reasonable estimate for the mass of a typical new-born baby is
A)1 kg.
B)3 kg.
C)10 kg.
D)20 kg.

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Q 17Q 17

A reasonable estimate for the height of the walls in an ordinary American home is
A)10 m.
B)8 m.
C)2.5 m.
D)1.5 m.

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Q 18Q 18

A reasonable estimate for the duration of a typical physics lecture is
A)600 s.
B)1000 s.
C)3500 s.
D)10,000 s.

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Q 19Q 19

A reasonable estimate for the mass of an ordinary passenger car is
A)100 kg
B)1000 kg
C)5000 kg
D)10,000 kg

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Multiple Choice

Q 20Q 20

What is the product of 12.56 and 2.12 expressed to the correct number of significant figures?
A)27
B)26.6
C)26.23
D)26.627

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Q 21Q 21

What is the quotient of 2.43 ÷ 4.561 expressed to the correct number of significant figures?
A)5.3278 ×
B)5.328 ×
C)5.33 ×
D)5.3 ×

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Multiple Choice

Q 22Q 22

What is expressed to the correct number of significant figures?
A)0.91
B)0.911
C)0.9108
D)0.9

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Q 23Q 23

What is 0.205

^{2/3}, to the correct number of significant figures? A)0.348 B)0.35 C)0.3 D)0.3477Free

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Q 24Q 24

Add and and express your answer in milligrams (mg)to the correct number of significant figures.
A)4.64 × 10

^{7}mg B)4.64 × 10^{4}mg C)4.64 × 10^{5}mg D)4.64 × 10^{6}mgFree

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Q 26Q 26

The length and width of a rectangle are 1.125 m and 0.606 m, respectively. Multiplying, your calculator gives the product as 0.68175. Rounding properly to the correct number of significant figures, the area of the rectangle should be written as
A)0.68 m

^{2}B)0.682 m^{2}C)0.6818 m^{2}D)0.68175 m^{2}Free

Multiple Choice

Q 27Q 27

What is the sum of 2.67 + 1.976 + 2.1 expressed to the correct number of significant figures?
A)6.7
B)6.75
C)6.746
D)6.7460

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Essay

Q 29Q 29

What is the difference between 103.5 and 102.24 expressed to the correct number of significant figures?
A)1.3
B)1.26
C)1.260
D)1.2600

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Multiple Choice

Q 30Q 30

What is the sum of 1.53 + 2.786 + 3.3 expressed to the correct number of significant figures?
A)7
B)7.6
C)7.62
D)7.616
E)7.6160

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Q 31Q 31

Express the result of the following calculation to the proper number of significant figures: 50.19 - 7966 × 10

^{-3}.Free

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Q 32Q 32

What is the result, expressed to the proper number of significant figures, of adding 23.4 to 91.237 and then subtracting 23.4?
A)91.237
B)91.2
C)91.3
D)91.0
E)91

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Q 33Q 33

Express the result of the following calculation, in scientific notation, to the proper number of significant figures: + 19

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Q 34Q 34

Add the following lengths, each obtained from a different measuring instrument, and round the answer to the proper number of significant figures: 20.02 m, 5.91 m, 0.0097 m, and 2.467 m.

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Q 35Q 35

The last page of a book is numbered 764. The book is 3.0 cm thick, not including its covers. What is the average thickness (in centimeters)of a page in the book, rounded to the proper number of significant figures?
A)0.0039 cm
B)0.072 cm
C)0.0079 cm
D)0.00393 cm
E)0.00785 cm

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Multiple Choice

Q 36Q 36

The length and width of a rectangle are 1.125 m and 0.606 m, respectively. You calculate the rectangle's perimeter by adding these numbers and multiplying by two. Your calculator's display reads 3.462. To the correct number of significant figures, the perimeter should be written as
A)3.5 m.
B)3.46 m.
C)3.462 m.
D)3.4620 m.

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Multiple Choice

Q 37Q 37

A rectangular garden measures 15 m long and 13.70 m wide. What is the length of a diagonal from one corner of the garden to the other?
A)18 m
B)19 m
C)20 m
D)4.1 × 10

^{2}mFree

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Q 38Q 38

If a circle has a radius of 1.109 m, what is its area expressed to the correct number of significant figures?
A)3.86 m

^{2}B)3.863 m^{2}C)3.864 m^{2}D)3.8638 m^{2}E)3.86379 m^{2}Free

Multiple Choice

Q 39Q 39

A train travels at a constant speed of 60.4 mi/h for 101.5 min. What distance does the train cover expressed to the correct number of significant figures?
A)100 mi
B)102 mi
C)102.2 mi
D)102.18 mi
E)102.181 mi

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Q 40Q 40

A dog has three puppies. Spot weighs 12 ounces. Rascal weighs 9.5 ounces. Socks weighs 10.2 ounces. What is the total weight of the litter expressed to the correct number of significant figures?
A)31.7 ounces
B)31 ounces
C)32 ounces
D)30 ounces
E)31.70 ounces

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Q 41Q 41

A traveler has about $536 in his checking account, about $2107 in his savings account and exactly $7.62 in his wallet. To the greatest precision warranted, how much money does this shopper have?
A)$2651
B)$2,650
C)$2,650.6
D)$2,650.62
E)$2,650.620

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Q 42Q 42

To get to her physics class, Alice walks 0.25 mi to the bus stop. She takes the bus 1.2 mi to the train station. She takes the train 13 mi and walks the remaining 0.17 mi to her class. How far is her commute expressed to the correct number of significant figures?
A)14.6 mi
B)10 mi
C)15 mi
D)14.62 mi
E)14.620 mi

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Q 43Q 43

What is 56 + written with the correct number of significant figures?
A)62.8
B)62.812
C)62.81
D)63
E)62.8123846

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Q 44Q 44

Using a digital balance the mass of a certain piece of wood is read as 12.946 g. Thinking in terms of accuracy and significant figures, what value would you record on your data sheet if the balance is accurate to one-tenth of a gram?
A)12.9 g
B)12.95 g
C)13 g
D)13.0 g

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Q 45Q 45

Which of the following numbers is the smallest?
A)15 × 10

^{-3}B)0.15 × 10^{0}C)0.00015 × 10^{3}D)0.00000015 × 10^{6}Free

Multiple Choice

Q 46Q 46

Which one of the following numbers is equivalent to the number 0.0001776?
A)1.776 × 10

^{-4}B)17.76 × 10^{-3}C)1776 × 10^{-5}D)177.6 × 10^{-7}Free

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Q 47Q 47

Write out the number 8.42 × 10

^{-5}in full with a decimal point and correct number of zeros. A)0.00000842 B)0.0000842 C)0.000842 D)0.00842Free

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Q 48Q 48

What is the result of the calculation (0.410 + 0.021)× (2.20 × 10

^{3})? A)880 B)946 C)948 D)950Free

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Q 49Q 49

Express (2.2 × 10

^{6})^{-1/2}in scientific notation. A)6.7 × 10^{-4}B)1.5 × 10^{3}C)1.5 × 10^{-5}D)1.5 × 10^{4}Free

Multiple Choice

Q 50Q 50

Express the number 13.5 gigameters in meters without using scientific notation.
A)135,000 m
B)135,000,000 m
C)135,000,000,000 m
D)13,500,000,000 m

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Q 51Q 51

A volume of 100 mL is equivalent to which one of the following volumes?
A)1 kL
B)10

^{-6}μL C)0.1 L D)0.01 MLFree

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Q 52Q 52

The volume of a 10-mL test tube is equivalent to which one of the following quantities?
A)0.01 L
B)0.001 kL
C)0.1 L
D)1 × 10

^{-6}L E)0.001 MLFree

Multiple Choice

Q 53Q 53

The number 0.00325 × 10

^{-8}cm can be expressed in millimeters as A)3.25 × 10^{-12}mm. B)3.25 × 10^{-11}mm. C)3.25 × 10^{-10}mm. D)3.25 × 10^{-9}mm.Free

Multiple Choice

Q 54Q 54

An area of 1.00 × 10

^{2}cm^{2}is how many square meters? A)1.00 m^{2}B)1.00 × 10^{2}m^{2}C)1.00 × 10^{-2}m^{2}D)1.00 × 10^{4}m^{2}E)1.00 × 10^{-3}m^{2}Free

Multiple Choice

Q 55Q 55

The prefix yotta (Y)signifies a multiple of 10

^{24}. How many yottameters are there in a gigameter?Free

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Q 56Q 56

Express the sum 1.00 kg + 1531 g + 2.54 × 10

^{4}mg in kilograms with the correct number of significant figures. A)2.56 kg B)27.9 kg C)2.53 kg D)2.79 kgFree

Multiple Choice

Q 57Q 57

The quantity 0.00325 × 10

^{-8}cm is equivalent to A)3.25 × 10^{-12}mm B)3.25 × 10^{-11}mm C)3.25 × 10^{-10}mm D)3.25 × 10^{-9}mm E)3.25 × 10^{-8}mmFree

Multiple Choice

Q 58Q 58

A weight lifter can bench press How many milligrams is this?
A)1.71 × 10

^{8}mg B)1.71 × 10^{9}mg C)1.71 × 10^{7}mg D)1.71 × 10^{6}mgFree

Multiple Choice

Q 59Q 59

How many nanoseconds does it take for a computer to perform one calculation if it performs calculations per second?
A)15 ns
B)67 ns
C)11 ns
D)65 ns

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Multiple Choice

Q 60Q 60

A certain disk can store 600 megabytes of information. If an average word requires 9.0 bytes of storage, how many words can be stored on one disk?
A)6.7 × 10

^{7}words B)5.4 × 10^{9}words C)2.1 × 10^{7}words D)2.0 × 10^{9}wordsFree

Multiple Choice

Q 61Q 61

The wavelength of the light from a certain laser is where What is this wavelength in nanometers? (1 nm = 10

^{-9}m) A)6.6 × 10^{2}nm B)6.6 × 10^{3}nm C)6.6 × 10^{1}nm D)6.6 × 10^{4}nmFree

Multiple Choice

Q 62Q 62

If you are 5'10'' tall, what is your height in meters? (2.54 cm = 1.00 in.)
A)1.5 m
B)1.6 m
C)1.7 m
D)1.8 m

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Q 63Q 63

Given that 1.00 in. = 2.54 cm and 1.00 yd = 36.0 in., how many meters are in 7.00 yd?
A)6.40 m
B)36.3 m
C)640 m
D)1.78 × 10

^{3}mFree

Multiple Choice

Q 64Q 64

Hydraulicists often express rainfall in acre-feet. This is the amount of water required to cover an area of one acre to a depth of one foot. There are 640.0 acres in a square mile, and 5280 feet in one mile. How many cubic feet are there in one acre-foot?

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Essay

Q 65Q 65

Express 50 mi/h in units of meters per second. (1 mi = 1609 m)
A)49 m/s
B)2.2 m/s
C)22 m/s
D)45 m/s

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Q 66Q 66

Given that 1.00 in. = 2.54 cm, how many square centimeters are in 1.00 square inch?
A)1.59
B)2.54
C)5.08
D)6.45

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Multiple Choice

Q 67Q 67

A plot of land contains How many square meters does it contain? (1.0 acre = 43,560 ft

^{2}and 2.54 cm = 1.00 in.) A)2.3 × 10^{4}m^{2}B)7.1 × 10^{3}m^{2}C)7.0 × 10^{4}m^{2}D)5.0 × 10^{4}m^{2}Free

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Q 69Q 69

A light-year (ly)is the distance that light travels in one year. The speed of light is 3.00 × 10

^{8}m/s. How many miles are there in 1.00 ly? (1.00 mi = 1.609 km and one year is 365.25 days.) A)2.87 × 10^{13}mi B)9.46 × 10^{15}mi C)5.88 × 10^{15}mi D)9.46 × 10^{12}mi E)5.88 × 10^{12}miFree

Multiple Choice

Q 70Q 70

A speed of 60 mi/h is closest to which of the following? (2.54 cm = 1.00 in.)
A)60 m/s
B)20 m/s
C)30 km/h
D)120 m/s
E)30 m/s

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Q 71Q 71

Which of the following speeds is greatest? (2.54 cm = 1.00 in.)
A)10 km/h
B)10 m/s
C)10 ft/s
D)10 mi/h
E)10 yd/s

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Q 72Q 72

A person on a diet loses in a week. How many micrograms per second (μg/s)are lost?
A)2.6 × 10

^{3}μg/s B)1.6 × 10^{5}μg/s C)44 μg/s D)6.4 × 10^{4}μg/sFree

Multiple Choice

Q 73Q 73

There are 640 acres in a square mile, 5280 ft in one mile, and 3.28 ft in one meter. How many acres are there in a hectare, which is a square one hundred meters on each side?

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Essay

Q 74Q 74

There are 2.00 dry pints to 1.00 dry quart, 8.00 dry quarts to 1.00 peck, 4.00 pecks to 1.00 bushel. An organic farmer wants to pick enough berries to fill 40,000 pint containers. How many bushels of berries does the farmer need?

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Essay

Q 75Q 75

A typical ruby-throated hummingbird is 8 cm long. Express its length in millimeters and micrometers (µm).
A)80 mm; 800 µm
B)80 mm; 80,000 µm
C)800 mm; 0.008 µm
D)800 mm; 0.8 µm
E)0.8 mm; 8000 µm

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Multiple Choice

Q 76Q 76

A jogger has a mass of 50 kg. Express her mass in grams and micrograms (µg).
A)50,000 g; 5 ×10

^{6}µg B)500,000 g; 500 × 10^{6}µg C)500,000 g; 5000 µg D)50,000 g; 5 × 10^{10}µg E)50,000 g; 50,000 µgFree

Multiple Choice

Q 77Q 77

A jar of peanut butter costs $3.29. Express its price in dekadollars and decidollars.
A)0.329 dekadollars; 0.329 decidollars
B)32.9 dekadollars; 0.329 decidollars
C)329 dekadollars; 32.9 decidollars
D)0.329 dekadollars; 32.9 decidollars
E)32.9 dekadollars; 329 decidollars

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Multiple Choice

Q 78Q 78

The following conversion equivalents are given: 1.00 gal = 231 1.0 ft = 12 in 1.0 min = 60 s
If a pipe delivers water at the rate of 95 gal/min, its rate of flow in ft

^{3}/s is closest to A)0.21 ft^{3}/s. B)0.19 ft^{3}/s. C)0.17 ft^{3}/s. D)0.15 ft^{3}/s. E)0.14 ft^{3}/s.Free

Multiple Choice

Q 79Q 79

The following conversion equivalents are given: 1.0 m = 100 cm 1.0 in = 2.54 cm 1.0 ft = 12 in
If a bin has a volume of 1.5 m

^{3}, the volume of the bin, in ft^{3}, is closest to A)35 ft^{3}B)41 ft^{3}C)47 ft^{3}D)53 ft^{3}E)59 ft^{3}Free

Multiple Choice

Q 80Q 80

The following conversion equivalents are given: 1.0 mile = 5280 ft 1.0 ft = 12 in 1 m = 39.37 in
1.0 hour = 60 min 1.0 min = 60 s
If a deer runs at 4.7 mi/h, its speed, in meters per second, is closest to
A)2.1 m/s.
B)1.7 m/s.
C)1.9 m/s.
D)2.3 m/s.
E)2.5 m/s.

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Multiple Choice

Q 81Q 81

A speed of 65 miles per hour is the same as which of the following? (1.00 ft = 30.48 cm)
A)24 m/s
B)29 m/s
C)32 m/s
D)37 m/s
E)42 m/s

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Multiple Choice

Q 82Q 82

The following conversion equivalents are given: 1.0 kg = 1000 g 1.0 l = 1000 1.0 l = 0.0353 The density of a certain liquid is 0.83 g/ . The density of this liquid, expressed in kg/ft

^{3}, is closest to A)24 kg/ft^{3}. B)19 kg/ft^{3}. C)21 kg/ft^{3}. D)26 kg/ft^{3}. E)28 kg/ft^{3}.Free

Multiple Choice

Q 83Q 83

Your car gets 34.7 mi/gal on a vacation trip in the U.S. If you were figuring your mileage in Europe, how many km/L did it get? (3.79 L = 1.00 gal; 1.00 mi = 1.61 km)
A)14.7 km/L
B)9.16 km/L
C)55.9 km/L
D)32.4 km/L

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Multiple Choice

Q 84Q 84

An oak tree was planted ago. How many seconds does this correspond to? (Do not take leap days into account.)
A)6.9 × 10

^{8}B)1.2 × 10^{7}C)2.9 × 10^{7}D)2.8 × 10^{8}Free

Multiple Choice

Q 85Q 85

At a certain time, the average size of a transistor in a microprocessor was 250 nanometers. A human hair has a diameter of 70 microns (micrometers). How many transistors fit across a human hair?
A)280
B)28
C)2800
D)2.8
E)0.28

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Multiple Choice

Q 86Q 86

The king's chamber of the great pyramid in Egypt is 10.43 m long, 5.21 m wide, and 5.82 m high. What is the volume of the chamber in cubic feet, expressed to the correct number of significant figures? (1.00 in. = 2.54 cm)
A)316 ft

^{3}B)3,720 ft^{3}C)6,530 ft^{3}D)11,200 ft^{3}E)13,200 ft^{3}Free

Multiple Choice

Q 87Q 87

Rover eats 0.50 pound of dry dog food per day. How many 5.0-kg sacks of dog food does his owner need to buy in a year? (1.0 kg weighs 2.2 lb)
A)17
B)25
C)52
D)80
E)81

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Multiple Choice

Q 88Q 88

The peak of Mt. Everest, at 10,900 m, is the highest point above sea level in the world. What is its elevation in miles? (1.00 m = 3.281 ft)
A)17.6 mi
B)0.630 mi
C)6.77 mi
D)6.20 mi
E)67.1 mi

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Multiple Choice

Q 89Q 89

The Hope Diamond weighs 44.5 carats, and there are 200 mg per carat. What is the mass of the Hope Diamond in kilograms?
A)0.000890 kg
B)0.00890 kg
C)0.0890 kg
D)0.890 kg
E)8.90 kg

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Multiple Choice

Q 90Q 90

The column of Trajan, erected in Rome in 106-113 A.D., is 125 feet tall. What is its height in centimeters? (2.54 cm = 1.00 in.)
A)1,510 cm
B)591 cm
C)2,520 cm
D)3,810 cm
E)38,100 cm

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Multiple Choice

Q 91Q 91

There are 640 acres in a square mile, and 5280 feet in 1.00 mile. What is the length in feet (to the nearest foot)of the side of a square having an area of 1.00 acre?
A)660 feet
B)209 feet
C)165 feet
D)412 feet
E)435 feet

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Multiple Choice

Q 92Q 92

An American football field, including end zones, is 360 feet long and 160 feet wide. If you needed to describe it for someone in Europe using the metric system, which one of the following quantities would be closest to its area in square meters? (2.54 cm = 1.00 in.)
A)4,920 m

^{2}B)5,350 m^{2}C)88.0 m^{2}D)12,100 m^{2}E)13,200 m^{2}Free

Multiple Choice

Q 93Q 93

Leonardo da Vinci's Mona Lisa is 21 in. wide and 30.25 in. tall. What is the area of the painting in square centimeters? (1.00 m = 39.37 in.)
A)4,100 cm

^{2}B)1,600 cm^{2}C)660 cm^{2}D)3,300 cm^{2}E)2,400 cm^{2}Free

Multiple Choice

Q 94Q 94

A cylindrical drinking glass has a diameter of 2.5 in. and is 5.5 in. tall. What is the volume of the drinking glass in cubic centimeters? (2.54 cm = 1.00 in.)
A)170 cubic cm
B)440 cubic cm
C)350 cubic cm
D)710 cubic cm
E)530 cubic cm

Free

Multiple Choice

Q 95Q 95

A football field is 120 yd long and 50 yd wide. What is the area of the football field, in square meters, given that 1.0 yd = 91.44 cm?
A)2.4 × 10

^{3}m^{2}B)3.7 × 10^{3}m^{2}C)4.2 × 10^{3}m^{2}D)5.0 × 10^{3}m^{2}Free

Multiple Choice

Q 96Q 96

Wall posters are usually sold curled up in cylindrical cardboard tubes. If the length of the tube is 84.5 cm, and the inside diameter of the tube is 2.40 cm, what is the area of the poster expressed to the correct number of significant figures? (Assume the poster is just as long as the tube and does not overlap itself.)
A)202.8 cm

^{2}B)637.1 cm^{2}C)203 cm^{2}D)319 cm^{2}E)637 cm^{2}Free

Multiple Choice

Q 97Q 97

A spherical fruit has a radius of 3.23 cm. What is the volume of the fruit in cubic meters?
A)1.41 × 10

^{-4}m^{3}B)1.41 m^{3}C)4.23 × 10^{-4}m^{3}D)4.23 m^{3}Free

Multiple Choice

Q 98Q 98

A thick-walled metal pipe of length 20.0 cm has an inside diameter of 2.00 cm and an outside diameter of 2.40 cm. What is the total surface area of the pipe, counting the ends, in square centimeters?
A)276 cm

^{2}B)277 cm^{2}C)278 cm^{2}D)279 cm^{2}Free

Multiple Choice

Q 99Q 99

The radius of the earth is 3963 mi. Which one of the following numbers is closest to the surface area of the earth? (1.0 mi = 1609 m)
A)4.9 × 10

^{7}m^{2}B)1.3 × 10^{14}m^{2}C)2.6 × 10^{14}m^{2}D)5.1 × 10^{14}m^{2}Free

Multiple Choice

Q 100Q 100

A large school district has 300 school buses. If each school bus is used 3.0 hours each day, the average speed of the school buses is 15 mi/h, and the fuel economy of the buses is 10 mi/gal. How much does it cost to run these buses for 22 school days if gasoline costs $4.10 a gallon?
A)$60,000
B)$120,000
C)$180,000
D)$240,000

Free

Multiple Choice

Q 101Q 101

A 2.00-qt bottle of soda is on sale for $1.29. What should be the price of a 2.00-L bottle of the same soda to yield the same value? (1.00 qt = 0.947 L)

Free

Essay

Q 102Q 102

In a country where the unit of currency is the Passi, kerosene costs 130 Passi per liter, and one dollar buys 227 Passi. What is the cost of kerosene in dollars per gallon? (1.00 gal = 3.79 L)

Free

Essay

Q 103Q 103

The tank of a certain car holds 16 gallons of gasoline. (1.00 gal = 3.785 L)
(a)How many liters of gasoline does this tank hold?
(b)How many kilometers can the car travel on one tank if it gets 25 miles per gallon?

Free

Essay

Q 104Q 104

The mass of Mars, 6.40 × 10

^{23}kg, is about one-tenth that of Earth, and its radius, 3395 km, is about half that of Earth. What is the mean density (mass divided by volume)of Mars in kilograms per cubic meter? A)9.76 × 10^{2}kg/m^{3}B)1.95 × 10^{3}kg/m^{3}C)3.90 × 10^{3}kg/m^{3}D)7.81 × 10^{3}kg/m^{3}Free

Multiple Choice

Q 105Q 105

The average density of blood is 1.06 × 10

^{3}kg/m^{3}. If you donate a pint of blood to the Red Cross, how many grams of blood have you donated? (2.00 pt = 1.00 qt, 1.00 L = 1000 cm^{3}, 1.00 qt = 0.947 L, and density is mass per unit volume.) A)502 g B)0.502 g C)5020 g D)5.02 × 10^{5}g E)5.02 gFree

Multiple Choice

Q 106Q 106

Concrete is sold by the cubic yard. What is the mass, in kilograms, of 1.00 cubic yard of concrete that is 5.00 times as dense as water? (1.00 m = 1.094 yd, a cubic meter of water has a mass of 1,000 kg, and density is mass per unit volume.)
A)764 kg
B)6550 kg
C)2420 kg
D)8730 kg
E)3820 kg

Free

Multiple Choice

Q 107Q 107

A porch roof that slopes upward at 45° measures 3.0 m × 5.0 m. It is covered with a slab of insulating material that is 2.0 cm thick. If the density of the insulation is 15 kg/m

^{3}, what is the weight of the insulation, in pounds, on the roof? (1.00 kg weighs 2.2 lb and density is mass per unit volume.) A)4.5 lb B)9.0 lb C)20 lb D)990 lb E)9.9 lbFree

Multiple Choice

Q 108Q 108

Estimate how many pennies would you have to stack to reach from the floor to an average 8-ft ceiling.
A)2 × 10

^{3}B)2 × 10^{2}C)2 × 10^{4}D)2 × 10^{5}E)2 x 10^{6}Free

Multiple Choice

Q 109Q 109

Estimate the number of times the earth will rotate on its axis during a human's lifetime.
A)3 × 10

^{4}B)3 × 10^{5}C)3 × 10^{6}D)3 × 10^{7}E)3 × 10^{8}Free

Multiple Choice

Q 110Q 110

Estimate the thickness, in meters, of an ordinary sheet of paper.
A)10

^{-4}m B)10^{-5}m C)10^{-6}m D)10^{-7}m E)10^{-8}mFree

Multiple Choice

Q 111Q 111

Which of the following is the most reasonable estimate of the number of characters (typed letters or numbers)in a 609-page book? Assume an average of 194 words per page and a reasonable average number of letters per word.
A)5 × 10

^{5}char B)5 × 10^{7}char C)5 × 10^{6 }char D)5 × 10^{4}charFree

Multiple Choice

Q 112Q 112

A marathon race is 26 mi and 385 yd long. Estimate how many strides would be required to run a marathon. Assume a reasonable value for the average number of feet/stride.
A)4.5 × 10

^{4}strides B)4.5 × 10^{3}strides C)4.5 × 10^{5}strides D)4.5 × 10^{6}stridesFree

Multiple Choice

Q 113Q 113

Estimate the number of times an average person's heart beats in a lifetime. Assume the average heart rate is and a life span of 75 years.
A)3 × 10

^{9}beats B)3 × 10^{8}beats C)3 × 10^{10}beats D)3 × 10^{7}beatsFree

Multiple Choice

Q 114Q 114

Consider a deer that runs from point A to point B. The distance the deer runs can be greater than the magnitude of its displacement, but the magnitude of the displacement can never be greater than the distance it runs.

Free

True False

Q 115Q 115

Which of the following quantities has units of a displacement? (There could be more than one correct choice.)
A)32 ft/s

^{2}vertically downward B)40 km southwest C)9.8 m/s^{2}D)-120 m/s E)186,000 miFree

Multiple Choice

Q 116Q 116

Suppose that an object travels from one point in space to another. Make a comparison between the magnitude of the displacement and the distance traveled by this object.
A)The displacement is either greater than or equal to the distance traveled.
B)The displacement is always equal to the distance traveled.
C)The displacement is either less than or equal to the distance traveled.
D)The displacement can be either greater than, smaller than, or equal to the distance traveled.

Free

Multiple Choice

Q 117Q 117

Consider a car that travels between points A and B. The car's average speed can be greater than the magnitude of its average velocity, but the magnitude of its average velocity can never be greater than its average speed.

Free

True False

Q 118Q 118

Which of the following quantities has units of a velocity? (There could be more than one correct choice.)
A)40 km southwest
B)-120 m/s
C)9.8 m/s

^{2}downward D)186,000 mi E)9.8 m/s downwardFree

Multiple Choice

Q 119Q 119

When is the average velocity of an object equal to the instantaneous velocity?
A)only when the velocity is increasing at a constant rate
B)only when the velocity is decreasing at a constant rate
C)when the velocity is constant
D)always
E)never

Free

Multiple Choice

Q 120Q 120

You drive 6.0 km at 50 km/h and then another 6.0 km at 90 km/h. Your average speed over the 12 km drive will be
A)greater than 70 km/h.
B)equal to 70 km/h.
C)less than 70 km/h.
D)exactly 38 km/h.
E)It cannot be determined from the information given because we must also know directions traveled.

Free

Multiple Choice

Q 121Q 121

If the velocity of an object is zero at some point, then its acceleration must also be zero at that point.

Free

True False

Q 122Q 122

Which of the following situations is impossible?
A)An object has velocity directed east and acceleration directed west.
B)An object has velocity directed east and acceleration directed east.
C)An object has zero velocity but non-zero acceleration.
D)An object has constant non-zero acceleration and changing velocity.
E)An object has constant non-zero velocity and changing acceleration.

Free

Multiple Choice

Free

True False

Free

True False

Q 125Q 125

Suppose that a car traveling to the west begins to slow down as it approaches a traffic light. Which of the following statements about its acceleration is correct?
A)The acceleration is toward the east.
B)Since the car is slowing down, its acceleration must be negative.
C)The acceleration is zero.
D)The acceleration is toward the west.

Free

Multiple Choice

Q 126Q 126

An auto manufacturer advertises that their car can go "from zero to sixty in eight seconds." This is a description of what characteristic of the car's motion?
A)average speed
B)instantaneous speed
C)average acceleration
D)instantaneous acceleration
E)displacement

Free

Multiple Choice

Q 127Q 127

An object moving in the +x direction experiences an acceleration of +2.0 m/s

^{2}. This means the object A)travels 2.0 m in every second. B)is traveling at 2.0 m/s. C)is decreasing its velocity by 2.0 m/s every second. D)is increasing its velocity by 2.0 m/s every second.Free

Multiple Choice

Q 128Q 128

Suppose that a car traveling to the east (+x direction)begins to slow down as it approaches a traffic light. Which statement concerning its acceleration must be correct?
A)Its acceleration is in the +x direction.
B)Its acceleration is in the -x direction.
C)Its acceleration is zero.
D)Its acceleration is decreasing in magnitude as the car slows down.

Free

Multiple Choice

Q 129Q 129

Suppose that a car traveling to the west (-x direction)begins to slow down as it approaches a traffic light. Which statement concerning its acceleration must be correct?
A)Its acceleration is positive.
B)Its acceleration is negative.
C)Its acceleration is zero.
D)Its acceleration is decreasing in magnitude as the car slows down.

Free

Multiple Choice

Q 130Q 130

Suppose that an object is moving with a constant velocity. Which statement concerning its acceleration must be correct?
A)The acceleration is constantly increasing.
B)The acceleration is constantly decreasing.
C)The acceleration is a constant non-zero value.
D)The acceleration is equal to zero.

Free

Multiple Choice

Q 131Q 131

If the velocity of an object is zero at one instant, what is true about the acceleration of that object? (There could be more than one correct choice.)
A)The acceleration could be positive.
B)The acceleration could be negative.
C)The acceleration could be zero.
D)The acceleration must be zero.

Free

Multiple Choice

Q 132Q 132

Under what condition is average velocity equal to the average of the object's initial and final velocity?
A)This can only occur if there is no acceleration.
B)The acceleration is constant.
C)This can occur only when the velocity is zero.
D)The acceleration must be constantly increasing.
E)The acceleration must be constantly decreasing.

Free

Multiple Choice

Q 133Q 133

A racing car accelerates uniformly from rest along a straight track. This track has markers spaced at equal distances along it from the start, as shown in the figure. The car reaches a speed of 140 km/h as it passes marker 2. Where on the track was the car when it was traveling at half this speed, that is at 70 km/h?
A)Before marker 1
B)At marker 1
C)Between marker 1 and marker 2

Free

Multiple Choice

Q 134Q 134

When a ball is thrown straight up with no air resistance, the acceleration at its highest point
A)is upward
B)is downward
C)is zero
D)reverses from upward to downward
E)reverses from downward to upward

Free

Multiple Choice

Q 135Q 135

A rock from a volcanic eruption is launched straight up into the air with no appreciable air resistance. Which one of the following statements about this rock while it is in the air is correct?
A)On the way up, its acceleration is downward and its velocity is upward, and at the highest point both its velocity and acceleration are zero.
B)On the way down, both its velocity and acceleration are downward, and at the highest point both its velocity and acceleration are zero.
C)Throughout the motion, the acceleration is downward, and the velocity is always in the same direction as the acceleration.
D)The acceleration is downward at all points in the motion.
E)The acceleration is downward at all points in the motion except that is zero at the highest point.

Free

Multiple Choice

Q 136Q 136

Suppose a ball is thrown straight up and experiences no appreciable air resistance. What is its acceleration just before it reaches its highest point?
A)zero
B)slightly less than g
C)exactly g
D)slightly greater than g

Free

Multiple Choice

Q 137Q 137

A ball is thrown straight up, reaches a maximum height, then falls to its initial height. Which of the following statements about the direction of the velocity and acceleration of the ball as it is going up is correct?
A)Both its velocity and its acceleration point upward.
B)Its velocity points upward and its acceleration points downward.
C)Its velocity points downward and its acceleration points upward.
D)Both its velocity and its acceleration points downward.

Free

Multiple Choice

Q 138Q 138

A ball is thrown downward in the absence of air resistance. After it has been released, which statement(s)concerning its acceleration is correct? (There could be more than one correct choice.)
A)Its acceleration is constantly increasing.
B)Its acceleration is constant.
C)Its acceleration is constantly decreasing.
D)Its acceleration is zero.
E)Its acceleration is greater than g.

Free

Multiple Choice

Q 139Q 139

A 10-kg rock and a 20-kg rock are thrown upward with the same initial speed v

_{0}and experience no significant air resistance. If the 10-kg rock reaches a maximum height h, what maximum height will the 20-kg ball reach? A)h/4 B)h/2 C)h D)2h E)4hFree

Multiple Choice

Q 140Q 140

A 10-kg rock and 20-kg rock are dropped from the same height and experience no significant air resistance. If it takes the 20-kg rock a time T to reach the ground, what time will it take the 10-kg rock to reach the ground?
A)4T
B)2T
C)T
D)T/2
E)T/4

Free

Multiple Choice

Q 141Q 141

A 10-kg rock and a 20-kg rock are dropped at the same time and experience no significant air resistance. If the 10-kg rock falls with acceleration a, what is the acceleration of the 20-kg rock?
A)4a
B)2a
C)a
D)a/2
E)a/4

Free

Multiple Choice

Q 142Q 142

Two objects are dropped from a bridge, an interval of 1.0 s apart. Air resistance is negligible. During the time that both objects continue to fall, their separation
A)increases.
B)decreases.
C)stays constant.
D)increases at first, but then stays constant.
E)decreases at first, but then stays constant.

Free

Multiple Choice

Q 143Q 143

From the edge of a roof top you toss a green ball upwards with initial speed v

_{0}and a blue ball downwards with the same initial speed. Air resistance is negligible. When they reach the ground below A)the green ball will be moving faster than the blue ball. B)the blue ball will be moving faster than the green ball. C)the two balls will have the same speed.Free

Multiple Choice

Q 144Q 144

Ball A is dropped from the top of a building. One second later, ball B is dropped from the same building. Neglect air resistance. As time progresses, the difference in their speeds
A)increases.
B)remains constant.
C)decreases.
D)cannot be determined from the information given.

Free

Multiple Choice

Q 145Q 145

Two objects are thrown from the top of a tall building. One is thrown up, and the other is thrown down, both with the same initial speed. What are their speeds when they hit the street? Neglect air resistance.
A)The one thrown up is traveling faster.
B)The one thrown down is traveling faster.
C)They are traveling at the same speed.
D)It is impossible to tell because the height of the building is not given.

Free

Multiple Choice

Q 146Q 146

Brick A is dropped from the top of a building. Brick B is thrown straight down from the same building, and neither one experiences appreciable air resistance. Which statement about their accelerations is correct?
A)The acceleration of A is greater than the acceleration of B.
B)The acceleration of B is greater than the acceleration of A.
C)The two bricks have exactly the same acceleration.
D)Neither brick has any acceleration once it is released.

Free

Multiple Choice

Q 147Q 147

An object is moving with constant non-zero velocity in the +x direction. The position versus time graph of this object is
A)a horizontal straight line.
B)a vertical straight line.
C)a straight line making an angle with the time axis.
D)a parabolic curve.

Free

Multiple Choice

Q 148Q 148

An object is moving with constant non-zero acceleration in the +x direction. The position versus time graph of this object is
A)a horizontal straight line.
B)a vertical straight line.
C)a straight line making an angle with the time axis.
D)a parabolic curve.

Free

Multiple Choice

Q 149Q 149

An object is moving with constant non-zero velocity in the +x direction. The velocity versus time graph of this object is
A)a horizontal straight line.
B)a vertical straight line.
C)a straight line making an angle with the time axis.
D)a parabolic curve.

Free

Multiple Choice

Q 150Q 150

An object is moving with constant non-zero acceleration in the +x direction. The velocity versus time graph of this object is
A)a horizontal straight line.
B)a vertical straight line.
C)a straight line making an angle with the time axis.
D)a parabolic curve.

Free

Multiple Choice

Q 151Q 151

The slope of a position versus time graph gives
A)the distance traveled.
B)velocity.
C)acceleration.
D)displacement.

Free

Multiple Choice

Q 152Q 152

The slope of a velocity versus time graph gives
A)the distance traveled.
B)velocity.
C)acceleration.
D)displacement.

Free

Multiple Choice

Q 153Q 153

If the position versus time graph of an object is a horizontal line, the object is
A)moving with constant non-zero speed.
B)moving with constant non-zero acceleration.
C)at rest.
D)moving with increasing speed.

Free

Multiple Choice

Q 154Q 154

If the velocity versus time graph of an object is a horizontal line, the object is
A)moving with zero acceleration.
B)moving with constant non-zero acceleration.
C)at rest.
D)moving with increasing speed.

Free

Multiple Choice

Q 155Q 155

If the velocity versus time graph of an object is a straight line making an angle of +30° (counter clockwise)with the time axis, the object is
A)moving with constant non-zero speed.
B)moving with constant non-zero acceleration.
C)at rest.
D)moving with increasing acceleration.

Free

Multiple Choice

Q 156Q 156

The motions of a car and a truck along a straight road are represented by the velocity-time graphs in the figure. The two vehicles are initially alongside each other at time t = 0. At time T, what is true of the distances traveled by the vehicles since time t = 0?
A)They will have traveled the same distance.
B)The truck will not have moved.
C)The car will have travelled further than the truck.
D)The truck will have travelled further than the car.

Free

Multiple Choice

Q 157Q 157

Which of the following graphs represent an object at rest? (There could be more than one correct choice.)
A)graph a
B)graph b
C)graph c
D)graph d
E)graph e

Free

Multiple Choice

Q 158Q 158

Which of the following graphs represent an object having zero acceleration?
A)only graph a
B)only graph b
C)graphs a and b
D)graphs b and c
E)graphs c and d

Free

Multiple Choice

Q 159Q 159

The figure shows a graph of the position x of two cars, C and D, as a function of time t. According to this graph, which statements about these cars must be true? (There could be more than one correct choice.)
A)The magnitude of the acceleration of car C is greater than the magnitude of the acceleration of car D.
B)The magnitude of the acceleration of car C is less than the magnitude of the acceleration of car D.
C)At time t = 10 s, both cars have the same velocity.
D)Both cars have the same acceleration.
E)The cars meet at time t = 10 s.

Free

Multiple Choice

Q 160Q 160

The graph in the figure shows the position of an object as a function of time. The letters H-L represent particular moments of time. (a)At which moment in time is the speed of the object the greatest?
(b)At which moment in time is the speed of the object equal to zero?

Free

Essay

Q 161Q 161

The motion of a particle is described in the velocity vs. time graph shown in the figure. Over the nine-second interval shown, we can say that the speed of the particle
A)only increases.
B)only decreases.
C)increases and then decreases.
D)decreases and then increases.
E)remains constant.

Free

Multiple Choice

Q 162Q 162

The graph in the figure shows the position of a particle as it travels along the x-axis. At what value of t is the speed of the particle equal to 0 m/s?
A)0 s
B)1 s
C)2 s
D)3 s
E)4 s

Free

Multiple Choice

Q 163Q 163

The area under a curve in a velocity versus time graph gives
A)acceleration.
B)velocity.
C)displacement.
D)position.

Free

Multiple Choice

Q 164Q 164

If, in the figure, you start from the Bakery, travel to the Cafe, and then to the Art Gallery
(a)what distance you have traveled?
(b)what is your displacement?

Free

Essay

Q 165Q 165

An object moves 15.0 m north and then 11.0 m south. Find both the distance it has traveled and the magnitude of its displacement.
A)4.0 m, 26.0 m
B)26.0 m, 4.0 m
C)26.0 m, 26.0 m
D)4.0 m, 4.0 m

Free

Multiple Choice

Q 166Q 166

What must be your average speed in order to travel 350 km in 5.15 h?
A)66.0 km/h
B)67.0 km/h
C)68.0 km/h
D)69.0 km/h

Free

Multiple Choice

Q 167Q 167

A runner ran the marathon (approximately 42.0 km)in 2 hours and 57 min. What was the average speed of the runner in m/s?
A)14,200 m/s
B)124 m/s
C)3.95 m/s
D)14.2 m/s

Free

Multiple Choice

Q 168Q 168

A light-year is the distance that light travels in one year. The speed of light is 3.00 × 10

^{8}m/s. How many miles are there in one light-year? (1 mi = 1609 m, 1 y = 365 d) A)9.46 × 10^{12}mi B)9.46 × 10^{15}mi C)5.88 × 10^{12}mi D)5.88 × 10^{15}miFree

Multiple Choice

Q 169Q 169

If you are driving 72 km/h along a straight road and you look to the side for 4.0 s, how far do you travel during this inattentive period?
A)18 m
B)20 m
C)40 m
D)80 m

Free

Multiple Choice

Q 170Q 170

If you run a complete loop around an outdoor track of length 400 m in 100 s, find your
(a)average velocity and (b)average speed.

Free

Essay

Q 171Q 171

A polar bear starts at the North Pole. It travels 1.0 km south, then 1.0 km east, and then 1.0 km north to return to its starting point. This trip takes 45 min. What was the bear's average speed?
A)0.00 km/h
B)0.067 km/h
C)4.0 km/h
D)5.3 km/h

Free

Multiple Choice

Q 172Q 172

A polar bear starts at the North Pole. It travels 1.0 km south, then 1.0 km east, and then 1.0 km north to return to its starting point. This trip takes 45 min. What was the bear's average velocity?
A)0.00 km/h
B)0.067 km/h
C)4.0 km/h
D)5.3 km/h

Free

Multiple Choice

Q 173Q 173

You are driving home on a weekend from school at 55 mi/h for 110 miles. It then starts to snow and you slow to 35 mi/h. You arrive home after driving 4 hours and 15 minutes. How far is your hometown from school?
A)180 mi
B)190 mi
C)200 mi
D)210 mi

Free

Multiple Choice

Q 174Q 174

A motorist travels 160 km at 80 km/h and 160 km at 100 km/h. What is the average speed of the motorist for this trip?
A)84 km/h
B)89 km/h
C)90 km/h
D)91 km/h

Free

Multiple Choice

Q 175Q 175

A motorist travels for 3.0 h at 80 km/h and 2.0 h at 100 km/h. What is her average speed for the trip?
A)85 km/h
B)88 km/h
C)90 km/h
D)92 km/h

Free

Multiple Choice

Q 176Q 176

An airplane travels at 300 mi/h south for 2.00 h and then at 250 mi/h north for 750 miles. What is the average speed for the trip?
A)260 mi/h
B)270 mi/h
C)275 mi/h
D)280 mi/h

Free

Multiple Choice

Q 177Q 177

A race car circles 10 times around a circular 8.0-km track in 20 min. Using SI units
(a)what is its average speed for the ten laps?
(b)what is its average velocity for the ten laps?

Free

Essay

Q 178Q 178

A bat, flying toward the east at 2.0 m/s, emits a shriek that is reflected back to it from a wall that is 20.0 m in front of the bat at the instant the shriek is emitted. Sound travels at 340 m/s in the air. How many milliseconds after emitting the shriek does the bat hear the reflected echo from the wall?

Free

Essay

Q 179Q 179

If, in the figure, you start from the Bakery, travel to the Cafe, and then to the Art Gallery in 2.00 hours, what is your
(a)average speed?
(b)average velocity?

Free

Essay

Q 180Q 180

A runner runs around a track consisting of two parallel lines 96 m long connected at the ends by two semicircles with a radius of 49 m. She completes one lap in 100 seconds. What is her average velocity?
A)2.5 m/s
B)5.0 m/s
C)10 m/s
D)0 m/s
E)1.3 m/s

Free

Multiple Choice

Q 181Q 181

A runner runs around a track consisting of two parallel lines 96 m long connected at the ends by two semicircles with a radius of 49 m. She completes one lap in 100 seconds. What is her average speed?
A)2.5 m/s
B)5.0 m/s
C)10 m/s
D)0 m/s
E)1.3 m/s

Free

Multiple Choice

Q 182Q 182

You leave on a trip in order to attend a meeting that will start after you begin your trip. Along the way you plan to stop for dinner. If the fastest you can safely drive is 65 mi/h, what is the longest time you can spend over dinner and still arrive just in time for the meeting?
A)2.4 h
B)2.6 h
C)1.9 h
D)You can't stop at all.

Free

Multiple Choice

Q 183Q 183

A motorist makes a trip of 180 miles. For the first 90 miles she drives at a constant speed of 30 mph. At what constant speed must she drive the remaining distance if her average speed for the total trip is to be 40 mph?
A)45 mph
B)50 mph
C)52.5 mph
D)55 mph
E)60 mph

Free

Multiple Choice

Q 184Q 184

Human reaction times are worsened by alcohol. How much further (in feet)would a drunk driver's car travel before he hits the brakes than a sober driver's car? Assume that both are initially traveling at 50.0 mi/h and their cars have the same acceleration while slowing down, and that the sober driver takes 0.33 s to hit the brakes in a crisis, while the drunk driver takes 1.0 s to do so. (5280 ft = 1 mi)

Free

Essay

Q 185Q 185

Arthur and Betty start walking toward each other when they are 100 m apart. Arthur has a speed of 3.0 m/s and Betty has a speed of 2.0 m/s. How long does it take for them to meet?

Free

Essay

Q 186Q 186

The position x(t)of a particle as a function of time t is given by the equation x(t)= (3.5 m/s)t - (5.0 m/s

^{2})t^{2}. What is the average velocity of the particle between t = 0.30 s and t = 0.40 s?Free

Essay

Q 187Q 187

A water rocket can reach a speed of 75 m/s in 0.050 seconds from launch. What is its average acceleration?

Free

Essay

Q 188Q 188

An airplane increases its speed at the average rate of 15 m/s

^{2}. How much time does it take to increase its speed from 100 m/s to 160 m/s? A)17 s B)0.058 s C)4.0 s D)0.25 sFree

Multiple Choice

Q 189Q 189

The captain orders his starship to accelerate from rest at a rate of "1 g" (1 g = 9.8 m/s

^{2}). How many days does it take the starship to reach 10% the speed of light? (Light travels at 3.0 × 10^{8}m/s.)Free

Essay

Q 190Q 190

A car is traveling north at After 12 s its velocity is in the same direction. Find the magnitude and direction of the car's average acceleration.
A)0.30 m/s

^{2}, south B)2.7 m/s^{2}, south C)0.30 m/s^{2}, north D)2.7 m/s^{2}, northFree

Multiple Choice

Q 191Q 191

A racquetball strikes a wall with a speed of 30 m/s and rebounds in the opposite direction with a speed of 26 m/s. The collision takes 20 ms. What is the average acceleration of the ball during the collision with the wall?
A)0 m/s

^{2}B)200 m/s^{2}C)2800 m/s^{2}D)1500 m/s^{2}E)1300 m/s^{2}Free

Multiple Choice

Q 192Q 192

The velocity v(t)of a particle as a function of time is given by v(t)= (2.3 m/s)+ (4.1 m/s

^{2})t - (6.2 m/s^{3})t^{2}. What is the average acceleration of the particle between t = 1.0 s and t = 2.0 s? A)-13 m/s^{2}B)-15 m/s^{2}C)13 m/s^{2}D)15 m/s^{2}E)0 m/s^{2}Free

Multiple Choice

Q 193Q 193

If a car accelerates at a uniform 4.0 m/s

^{2}, how long will it take to reach a speed of 80 km/hr, starting from rest?Free

Essay

Q 194Q 194

A car that is initially moving at 7.50 m/s begins to accelerate forward uniformly at 0.550 m/s

^{2}. (a)How long after beginning to accelerate does it take the car to move 3.50 km? (b)How fast is the car moving just as it has traveled 3.50 km?Free

Essay

Q 195Q 195

An auto accelerates forward from 7.0 m/s at a uniform 0.71 m/s

^{2}. It travels a distance of 1.033 km while accelerating. (a)How fast is the auto moving just as it is traveled the 1.033 km? (b)How many seconds did it take to travel the 1.033 km?Free

Essay

Q 196Q 196

In a ballistics test, a bullet moving horizontally with a speed of 500 m/s strikes a sandbag and penetrates a distance of 10.0 cm.
(a)What is the magnitude of the average acceleration of the bullet in the sandbag?
(b)How many milliseconds does it take the bullet to come to rest in the sandbag?

Free

Essay

Q 197Q 197

A certain test car can go from rest to 32.0 m/s in 3.88 s. The same car can come to a full stop from that speed in 4.14 s. What is the ratio of the magnitude of the starting acceleration to the stopping acceleration?
A)0.937
B)1.07
C)0.878
D)1.14

Free

Multiple Choice

Q 198Q 198

A car initially traveling at 60 km/h accelerates at a constant rate of 2.0 m/s

^{2}. How much time is required for the car to reach a speed of 90 km/h? A)15 s B)30 s C)45 s D)4.2 sFree

Multiple Choice

Q 199Q 199

A cart starts from rest and accelerates uniformly at 4.0 m/s

^{2}for 5.0 s. It next maintains the velocity it has reached for 10 s. Then it slows down at a steady rate of 2.0 m/s^{2}for 4.0 s. What is the final speed of the car? A)20 m/s B)16 m/s C)12 m/s D)10 m/sFree

Multiple Choice

Q 200Q 200

A car travels at 15 m/s for 10 s. It then speeds up with a constant acceleration of 2.0 m/s

^{2}for 15 s. At the end of this time, what is its velocity? A)15 m/s B)30 m/s C)45 m/s D)375 m/sFree

Multiple Choice

Q 201Q 201

A cart with an initial velocity of 5.0 m/s to the right experiences a constant acceleration of 2.0 m/s

^{2}to the right. What is the cart's displacement during the first 6.0 s of this motion? A)10 m B)55 m C)66 m D)80 mFree

Multiple Choice

Q 202Q 202

A jet plane is launched from a catapult on an aircraft carrier. In 2.0 s it reaches a speed of 42 m/s at the end of the catapult. Assuming the acceleration is constant, how far did it travel during those 2.0 s?
A)16 m
B)24 m
C)42 m
D)84 m

Free

Multiple Choice

Q 203Q 203

A car starting from rest accelerates at a constant 2.0 m/s

^{2}for 10 s. It then travels with constant speed it has achieved for another 10 s. Then it finally slows to a stop with constant acceleration of magnitude 2.0 m/s^{2}. How far does it travel after starting? A)200 m B)300 m C)400 m D)500 mFree

Multiple Choice

Q 204Q 204

A car increases its forward velocity uniformly from 40 m/s to 80 m/s while traveling a distance of 200 m. What is its acceleration during this time?
A)8.0 m/s

^{2}B)9.6 m/s^{2}C)12 m/s^{2}D)24 m/s^{2}Free

Multiple Choice

Q 205Q 205

An object starts from rest and undergoes uniform acceleration. During the first second it travels 5.0 m. How far will it travel during the third second?
A)5.0 m
B)15 m
C)25 m
D)45 m

Free

Multiple Choice

Q 206Q 206

An object is moving in a straight line with constant acceleration. Initially it is traveling at 16 m/s. Three seconds later it is traveling at 10 m/s. How far does it move during this time?
A)30 m
B)39 m
C)48 m
D)57 m

Free

Multiple Choice

Q 207Q 207

A car starts from rest and accelerates uniformly at 3.0 m/s

^{2}toward the north. A second car starts from rest 6.0 s later at the same point and accelerates uniformly at 5.0 m/s^{2}toward the north. How long after the second car starts does it overtake the first car? A)12 s B)19 s C)21 s D)24 sFree

Multiple Choice

Q 208Q 208

A car with good tires on a dry road can decelerate (slow down)at a steady rate of about 5.0 m/s

^{2}when braking. If a car is initially traveling at 55 mi/h (a)how much time does it take the car to stop? (b)what is its stopping distance?Free

Essay

Q 209Q 209

At the instant a traffic light turns green, a car that has been waiting at the intersection starts ahead with a constant acceleration of 2.00 m/s

^{2}. At that moment a truck traveling with a constant velocity of 15.0 m/s overtakes and passes the car. (a)Calculate the time necessary for the car to reach the truck. (b)Calculate the distance beyond the traffic light that the car will pass the truck. (c)Determine the speed of the car when it passes the truck.Free

Essay

Q 210Q 210

Starting from rest, a dragster travels a straight 1/4 mi racetrack in 6.70 s with constant acceleration. What is its velocity when it crosses the finish line?
A)269 mi/h
B)188 mi/h
C)296 mi/h
D)135 mi/h

Free

Multiple Choice

Q 211Q 211

A bicyclist starts a timed race at In order to win, he must average Assuming constant acceleration from the start, how fast must he be traveling at the end of the race?
A)36 mi/h
B)30 mi/h
C)24 mi/h
D)42 mi/h

Free

Multiple Choice

Q 212Q 212

A car accelerates from to at a constant rate of How far does it travel while accelerating?
A)69 m
B)207 m
C)41 m
D)117 m

Free

Multiple Choice

Q 213Q 213

An airplane needs to reach a forward velocity of to take off. On a runway, what is the minimum uniform acceleration necessary for the plane to take flight if it starts from rest?
A)0.79 m/s

^{2}B)0.87 m/s^{2}C)0.95 m/s^{2}D)1.0 m/s^{2}Free

Multiple Choice

Q 214Q 214

Assuming equal rates of uniform acceleration in both cases, how much further would you travel if braking from to rest than from ?
A)4 times farther
B)3.2 times farther
C)4.8 times farther
D)5.2 times farther

Free

Multiple Choice

Q 215Q 215

Acceleration is sometimes expressed in multiples of g, where is the acceleration of an object due to the earth's gravity. In a car crash, the car's forward velocity may go from to in How many g's are experienced, on average, by the driver?
A)20 g
B)14 g
C)24 g
D)26 g

Free

Multiple Choice

Q 216Q 216

A baseball is hit with a bat and, as a result, its direction is completely reversed and its speed is doubled. If the actual contact with the bat lasts 0.45 s, what is the ratio of the magnitude of the average acceleration of the ball to its original speed?
A)6.7 s

^{-1}B)4.4 s^{-1}C)2.2 s^{-1}D)0.15 s^{-1}Free

Multiple Choice

Q 217Q 217

A train starts from rest and accelerates uniformly until it has traveled 5.6 km and acquired a forward velocity of The train then moves at a constant velocity of for 420 s. The train then slows down uniformly at until it is brought to a halt. The acceleration during the first 5.6 km of travel is closest to which of the following?
A)0.16 m/
B)0.14 m/
C)0.17 m/
D)0.19 m/
E)0.20 m/

Free

Multiple Choice

Q 218Q 218

A train starts from rest and accelerates uniformly until it has traveled 2.1 km and acquired a forward velocity of The train then moves at a constant velocity of for 400 s. The train then slows down uniformly at until it is brought to a halt. The distance traveled by the train while slowing down is closest to
A)4.4 km.
B)4.2 km.
C)4.0 km.
D)3.8 km.
E)3.6 km.

Free

Multiple Choice

Q 219Q 219

A soccer ball is released from rest at the top of a grassy incline. After 6.4 seconds the ball has rolled 91 m with constant acceleration, and 1.0 s later it reaches the bottom of the incline.
(a)What was the ball's acceleration?
(b)How long was the incline?

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Essay

Q 220Q 220

A car starts from rest and accelerates at a steady 6.00 m/s

^{2}. How far does it travel in the first 3.00 s? A)9.00 m B)18.0 m C)27.0 m D)36.0 m E)54.0 mFree

Multiple Choice

Q 221Q 221

A car is moving with a constant acceleration. At time t = 5.0 s its velocity is 8.0 m/s in the forward direction, and at time t = 8.0 s its velocity is 12.0 m/s forward. What is the distance traveled in that interval of time?
A)10 m
B)20 m
C)30 m
D)40 m
E)50 m

Free

Multiple Choice

Q 222Q 222

An airplane starts from rest and accelerates at a constant 10.8 m/s

^{2}. What is its speed at the end of a 400 m-long runway? A)37.0 m/s B)93.0 m/s C)65.7 m/s D)4320 m/s E)186 m/sFree

Multiple Choice

Q 223Q 223

A car is moving with a speed of 32.0 m/s. The driver sees an accident ahead and slams on the brakes, causing the car to slow down with a uniform acceleration of magnitude 3.50 m/s

^{2}. How far does the car travel after the driver put on the brakes until it comes to a stop? A)4.57 m B)9.14 m C)112 m D)146 m E)292 mFree

Multiple Choice

Q 224Q 224

A car is traveling with a constant speed when the driver suddenly applies the brakes, causing the car to slow down with a constant acceleration of magnitude 3.50 m/s

^{2}. If the car comes to a stop in a distance of 30.0 m, what was the car's original speed? A)10.2 m/s B)14.5 m/s C)105 m/s D)210 m/s E)315 m/sFree

Multiple Choice

Q 225Q 225

A car is traveling with a constant speed of 30.0 m/s when the driver suddenly applies the brakes, causing the car to slow down with a constant acceleration. The car comes to a stop in a distance of 120 m. What was the acceleration of the car as it slowed down?
A)3.75 m/s

^{2}B)4.00 m/s^{2}C)4.25 m/s^{2}D)4.50 m/s^{2}E)4.75 m/s^{2}Free

Multiple Choice

Q 226Q 226

A car is traveling at 26.0 m/s when the driver suddenly applies the brakes, causing the car to slow down with constant acceleration. The car comes to a stop in a distance of 120 m. How fast was the car moving when it was 60.0 m past the point where the brakes were applied?
A)22.5 m/s
B)18.4 m/s
C)15.0 m/s
D)12.1 m/s
E)9.20 m/s

Free

Multiple Choice

Q 227Q 227

Car A is traveling at 22.0 m/s and car B at 29.0 m/s. Car A is 300 m behind car B when the driver of car A accelerates his car with a uniform forward acceleration of 2.40 m/ . How long after car A begins to accelerate does it take car A to overtake car B?
A)5.50 s
B)12.6 s
C)19.0 s
D)316 s
E)Car A never overtakes car B.

Free

Multiple Choice

Q 228Q 228

A stone is thrown with an initial upward velocity of 7.0 m/s and experiences negligible air resistance. If we take upward as the positive direction, what is the velocity of the stone after 0.50 s?
A)2.1 m/s
B)4.9 m/s
C)-2.1 m/s
D)-4.9 m/s
E)0.00 m/s

Free

Multiple Choice

Q 229Q 229

An astronaut on a strange new planet having no atmosphere finds that she can jump up to a maximum height of 27 m when her initial upward speed is 6.0 m/s. What is the magnitude of the acceleration due to gravity on the planet?

Free

Essay

Q 230Q 230

A laser is thrown upward with a speed of 12 m/s on the surface of planet X where the acceleration due to gravity is 1.5 m/s

^{2}and there is no atmosphere. What is the maximum height reached by the laser? A)8.0 m B)18 m C)48 m D)144 mFree

Multiple Choice

Q 231Q 231

A laser is thrown upward with a speed of 12 m/s on the surface of planet X where the acceleration due to gravity is 1.5 m/s

^{2}and there is no atmosphere. How long does it take for the laser to reach the maximum height? A)8.0 s B)11 s C)14 s D)16 sFree

Multiple Choice

Q 232Q 232

An instrument is thrown upward with a speed of 15 m/s on the surface of planet X where the acceleration due to gravity is 2.5 m/s

^{2}and there is no atmosphere. How long does it take for the instrument to return to where it was thrown? A)6.0 s B)8.0 s C)10 s D)12 sFree

Multiple Choice

Q 233Q 233

A hammer is thrown upward with a speed of 14 m/s on the surface of planet X where the acceleration due to gravity is 3.5 m/s

^{2}and there is no atmosphere. What is the speed of the hammer after 8.0 s? A)7.0 m/s B)14 m/s C)21 m/s D)64 m/sFree

Multiple Choice

Q 234Q 234

Human reaction time is usually greater than 0.10 s. If your friend holds a ruler between your fingers and releases it without warning, how far can you expect the ruler to fall before you catch it, assuming negligible air resistance?
A)At least 3.0 cm
B)At least 4.9 cm
C)At least 6.8 cm
D)At least 9.8 cm

Free

Multiple Choice

Q 235Q 235

A ball is thrown upward at a velocity of 19.6 m/s. What is its velocity after 3.0 s, assuming negligible air resistance?
A)9.8 m/s upward
B)9.8 m/s downward
C)0 m/s
D)19.6 m/s downward

Free

Multiple Choice

Q 236Q 236

A bullet shot straight up returns to its starting point in 10 s. What is the initial speed of the bullet, assuming negligible air resistance?
A)9.8 m/s
B)25 m/s
C)49 m/s
D)98 m/s

Free

Multiple Choice

Q 237Q 237

A ball is thrown straight up with a speed of 36 m/s. How long does it take to return to its starting point, assuming negligible air resistance?
A)3.7 s
B)7.3 s
C)11 s
D)15 s

Free

Multiple Choice

Q 238Q 238

A ball is thrown downward from the top of a building with an initial speed of 25 m/s. It strikes the ground after 2.0 s. How high is the building, assuming negligible air resistance?
A)20 m
B)30 m
C)50 m
D)70 m

Free

Multiple Choice

Q 239Q 239

A ball is thrown straight up with a speed of 30 m/s, and air resistance is negligible.
(a)How long does it take the ball to reach the maximum height?
(b)What is the maximum height reached by the ball?
(c)What is its speed after 4.2 s?

Free

Essay

Q 240Q 240

A foul ball is hit straight up into the air with a speed of 30 m/s, and air resistance is negligible.
(a)Calculate the time required for the ball to rise to its maximum height.
(b)Calculate the maximum height reached by the ball above the point where it hit the bat.
(c)Determine the times at which the ball passes a point 25 m above the point where it was hit by the bat.
(d)Explain why there are two answers to part (c).

Free

Essay

Q 241Q 241

A ball is projected upward at time t = 0 s, from a point on a flat roof 10 m above the ground. The ball rises and then falls with insignificant air resistance, missing the roof, and strikes the ground. The initial velocity of the ball is Consider all quantities as positive in the upward direction. At time the vertical velocity of the ball is closest to
A)0 m/s.
B)+175 m/s.
C)+12 m/s.
D)-175 m/s.
E)-12 m/s.

Free

Multiple Choice

Q 242Q 242

A ball is projected upward at time t = 0 s, from a point on a flat roof 90 m above the ground. The ball rises and then falls with insignificant air resistance, missing the roof, and strikes the ground. The initial velocity of the ball is Consider all quantities as positive in the upward direction. The vertical velocity of the ball when it is above the ground is closest to
A)-81 m/s.
B)-64 m/s.
C)-48 m/s.
D)-32 m/s.
E)-97 m/s.

Free

Multiple Choice

Q 243Q 243

A test rocket at ground level is fired straight up from rest with a net upward acceleration of 20 m/s

^{2}. After 4.0 s, the motor turns off but the rocket continues to coast upward with insignificant air resistance. What maximum elevation does the rocket reach? A)160 m B)330 m C)320 m D)410 m E)490 mFree

Multiple Choice

Q 244Q 244

A toy rocket is launched vertically from ground level at time t = 0.00 s. The rocket engine provides constant upward acceleration during the burn phase. At the instant of engine burnout, the rocket has risen to 64 m and acquired an upward velocity of The rocket continues to rise with insignificant air resistance in unpowered flight, reaches maximum height, and falls back to the ground. The time interval during which the rocket engine provided the upward acceleration, is closest to
A)2.1 s.
B)2.3 s.
C)1.9 s.
D)1.7 s.
E)1.5 s.

Free

Multiple Choice

Q 245Q 245

A toy rocket is launched vertically from ground level at time t = 0.00 s. The rocket engine provides constant upward acceleration during the burn phase. At the instant of engine burnout, the rocket has risen to 81 m and acquired an upward velocity of The rocket continues to rise with insignificant air resistance in unpowered flight, reaches maximum height, and falls back to the ground. The upward acceleration of the rocket during the burn phase is closest to
A)9.9 m/ .
B)9.6 m/ .
C)9.3 m/ .
D)9.0 m/ .
E)8.7 m/ .

Free

Multiple Choice

Q 246Q 246

A toy rocket is launched vertically from ground level at time t = 0 s. The rocket engine provides constant upward acceleration during the burn phase. At the instant of engine burnout, the rocket has risen to 49.0 m and acquired an upward velocity of The rocket continues to rise with insignificant air resistance in unpowered flight, reaches maximum height, and falls back to the ground. The maximum height reached by the rocket is closest to
A)233 m.
B)221 m.
C)209 m.
D)244 m.
E)256 m.

Free

Multiple Choice

Q 247Q 247

A rock is projected upward from the surface of the Moon, at time t = 0 s, with an upward velocity of 30.0 m/s. The acceleration due to gravity at the surface of the Moon is 1.62 m/s

^{2}, and the Moon has no atmosphere. The height of the rock when it is descending with a speed of 20.0 m/s is closest to A)115 m. B)125 m. C)135 m. D)145 m. E)154 m.Free

Multiple Choice

Q 248Q 248

A ball is thrown straight upward from ground level with a speed of How much time passes before the ball strikes the ground if we disregard air resistance?
A)3.7 s
B)1.8 s
C)1.1 s
D)0.6 s

Free

Multiple Choice

Q 249Q 249

A rock is thrown directly upward from the edge of a flat roof of a building that is 56.3 meters tall. The rock misses the building on its way down, and is observed to strike the ground 4.00 seconds after being thrown. Take the acceleration due to gravity to have magnitude and neglect any effects of air resistance. With what speed was the rock thrown?

Free

Essay

Q 250Q 250

A package is dropped from a helicopter that is moving upward at If it takes before the package strikes the ground, how high above the ground was the package when it was released? Neglect air resistance.

Free

Essay

Q 251Q 251

At the same moment, one rock is dropped and one is thrown downward with an initial velocity of from the top of a building that is tall. How much earlier does the thrown rock strike the ground? Neglect air resistance.

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Essay

Q 252Q 252

An object is dropped from a bridge. A second object is thrown downwards 1.0 s later. They both reach the water 20 m below at the same instant. What was the initial speed of the second object? Neglect air resistance.
A)4.9 m/s
B)15 m/s
C)9.9 m/s
D)20 m/s
E)21 m/s

Free

Multiple Choice

Q 253Q 253

To determine the height of a bridge above the water, a person drops a stone and measures the time it takes for it to hit the water. If the time is 2.3 s, what is the height of the bridge? Neglect air resistance.
A)10 m
B)14 m
C)26 m
D)32 m
E)52 m

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Multiple Choice

Q 254Q 254

To determine the height of a bridge above the water, a person drops a stone and measures the time it takes for it to hit the water. If the height of the bridge is 41 m, how long will it take for the stone to hit the water? Neglect air resistance.
A)2.3 s
B)2.6 s
C)2.9 s
D)3.2 s
E)3.6 s

Free

Multiple Choice

Q 255Q 255

An astronaut stands by the rim of a crater on the Moon, where the acceleration of gravity is 1.62 m/s

^{2}and there is no air. To determine the depth of the crater, she drops a rock and measures the time it takes for it to hit the bottom. If the time is 6.3 s, what is the depth of the crater? A)10 m B)14 m C)26 m D)32 m E)38 mFree

Multiple Choice

Q 256Q 256

An astronaut stands by the rim of a crater on the Moon, where the acceleration of gravity is 1.62 m/s

^{2}and there is no air. To determine the depth of the crater, she drops a rock and measures the time it takes for it to hit the bottom. If the depth of the crater is 120 m, how long does it take for the rock to fall to the bottom of the crater? A)3.04 s B)12.2 s C)29.3 s D)32.1 s E)37.5 sFree

Multiple Choice

Q 257Q 257

An object is thrown upwards with a speed of 16 m/s. How long does it take it to reach a height of 7.0 m on the way up? Neglect air resistance.
A)0.52 s
B)1.2 s
C)2.4 s
D)3.1 s
E)4.2 s

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Multiple Choice

Q 258Q 258

An object is thrown upwards with a speed of 13 m/s. How long does it take to reach a height of 4.0 m above the projection point while descending? Neglect air resistance.
A)0.42 s
B)1.2 s
C)2.3 s
D)3.1 s
E)4.2 s

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Multiple Choice

Q 259Q 259

To determine the height of a flagpole, Abby throws a ball straight up and times it. She sees that the ball goes by the top of the pole after 0.50 s and then reaches the top of the pole again after a total elapsed time of 4.1 s. How high is the pole above the point where the ball was launched? Neglect air resistance.
A)10 m
B)13 m
C)16 m
D)18 m
E)26 m

Free

Multiple Choice

Q 260Q 260

Abby throws a ball straight up and times it. She sees that the ball goes by the top of a flagpole after 0.50 s and reaches the level of the top of the pole after a total elapsed time of 4.1 s. What was the speed of the ball at launch? Neglect air resistance.
A)11 m/s
B)23 m/s
C)34 m/s
D)45 m/s
E)48 m/s

Free

Multiple Choice

Q 261Q 261

Abby throws a ball straight up and times it. She sees that the ball goes by the top of a flagpole after 0.50 s and reaches the level of the top of the pole after a total elapsed time of 4.1 s. What was the speed of the ball at as it passed the top of the flagpole? Neglect air resistance.
A)6.4 m/s
B)16 m/s
C)18 m/s
D)29 m/s
E)33 m/s

Free

Multiple Choice

Q 262Q 262

A car is able to stop in a distance d. Assuming the same braking force (and therefore the same acceleration), what distance does this car require to stop when it is traveling twice as fast?
A)d
B)2d
C) d
D)4d
E)2 d

Free

Multiple Choice

Q 263Q 263

Assuming equal rates of acceleration in both cases, how much longer would it take a car to stop if braking from 56 mi/h than from 28 mi/h?
A)8 times as long
B)4 times as long
C)2 times as long
D)1.4 times as long
E)the same in both cases

Free

Multiple Choice

Q 264Q 264

Two identical objects A and B fall from rest from different heights to the ground. If object B takes twice as long as object A to reach the ground, what is the ratio of the heights from which A and B fell? Neglect air resistance.
A)h

_{A}/h_{B}= 1/ B)h_{A}/h_{B}= 1/2 C)h_{A}/h_{B}= 1/4 D)h_{A}/h_{B}= 1/8Free

Multiple Choice

Q 265Q 265

Two cars are traveling at the same speed and hit the brakes at the same time. Car A decelerates (decreases its velocity)at twice the rate of car B. If car B takes time T to stop, how long does it take car A to stop?
A)4T
B)2T
C)T
D)T /2
E)T/4

Free

Multiple Choice

Q 266Q 266

Two cars are traveling at the same speed and hit the brakes at the same time. Car A decelerates (decreases its velocity)at twice the rate of car B. If car A travels a distance D before stopping, how far does car B travel before stopping?
A)4D
B)2D
C)D
D)D/2
E)D/4

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Multiple Choice

Q 267Q 267

Car A is traveling at twice the speed of car B. They both hit the brakes at the same time and decrease their velocities at the same rate. If car B travels a distance D before stopping, how far does car A travel before stopping?
A)4D
B)2D
C)D
D)D/2
E)D/4

Free

Multiple Choice

Q 268Q 268

A car moving initially with speed v

_{0}slows down with an acceleration of magnitude a and comes to a full stop after traveling a distance d. What was the speed of the car when it had traveled half that distance, d/2? A)v_{0}/2 B)v_{0}/4 C)v_{0}/ D)v_{0}/8Free

Multiple Choice

Q 269Q 269

Two athletes jump straight up. John has twice the initial speed of Harry. Compared to Harry, John stays in the air
A)0.50 times as long as Harry.
B)the same time as Harry.
C)twice as long as Harry.
D)three times as long as Harry.
E)four times as long as Harry.

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Multiple Choice

Q 270Q 270

In the absence of air resistance, a ball is thrown vertically upward with initial speed v. An identical ball is thrown upward with initial speed 2v. If the first ball reaches a maximum height h, what maximum height will the second ball reach?
A)8h
B)4h
C)2h
D) h
E)h

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Multiple Choice

Q 271Q 271

The graph in the figure represents the velocity of a particle as it travels along the x-axis. What is the average acceleration of the particle between t = 2.0 s and t = 4.0 s?

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Essay

Q 272Q 272

The graph in the figure shows the position of a particle as a function of time as it travels along the x-axis.
(a)What is the average speed of the particle between t = 2.0 s and t = 4.0 s?
(b)What is the average velocity of the particle between t = 2.0 s and t = 4.0 s?

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Essay

Q 273Q 273

The graph in the figure shows the position of a particle as a function of time as it travels along the x-axis.
(a)What is the magnitude of the average velocity of the particle between t = 1.0 s and t = 4.0 s?
(b)What is the average speed of the particle between t = 1.0 s and t = 4.0 s?

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Essay

Q 274Q 274

The graph in the figure shows the position of a particle as it travels along the x-axis. What is the magnitude of the instantaneous velocity of the particle when t = 1.0 s?

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Essay

Q 275Q 275

The graph in the figure shows the position of a particle as it travels along the x-axis. What is the magnitude of the average velocity of the particle between t = 1.0 s and t = 4.0 s?
A)0.25 m/s
B)0.50 m/s
C)0.67 m/s
D)1.0 m/s
E)1.3 m/s

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Multiple Choice

Q 276Q 276

The graph in the figure shows the position of a particle as it travels along the x-axis. What is the magnitude of the average speed of the particle between t = 1.0 s and t = 4.0 s?
A)1.0 m/s
B)1.3 m/s
C)0.67 m/s
D)0.50 m/s
E)0.25 m/s

Free

Multiple Choice

Q 277Q 277

The graph in the figure shows the velocity of a particle as it travels along the x-axis. What is the magnitude of the average acceleration of the particle between t = 1.0 s and t = 4.0 s?
A)0.33 m/s

^{2}B)1.7 m/s^{2}C)2.0 m/s^{2}D)2.5 m/s^{2}E)3.0 m/s^{2}Free

Multiple Choice

Q 278Q 278

The graph in the figure shows the velocity of a particle as it travels along the x-axis. (a)In what direction (+x or -x)is the acceleration at t = 0.5 s?
(b)In what direction (+x or -x)is the acceleration at t = 3.0 s?
(c)What is the average acceleration of the particle between t = 2.0 s and t = 4.0 s?
(d)At what value of t is the instantaneous acceleration equal to 0 m/s

^{2}?Free

Essay

Q 279Q 279

The figure shows a graph of the position of a moving object as a function of time. What is the velocity of the object at each of the following times?
(a)At t = 1.0 s
(b)At t = 2.5 s
(c)At t = 4.0 s
(d)At t = 5.5 s

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Essay

Q 280Q 280

The figure shows a graph of the position of a moving object as a function of time.
(a)What is the average velocity of the object from t = 0 s to t = 4.0 s?
(b)What is the average velocity of the object from t = 0 s to t = 6.0 s?

Free

Essay

Q 281Q 281

The figure shows a graph of the velocity of an object as a function of time. What is the acceleration of the object at the following times?
(a)At 1.0 s
(b)At 3.0 s

Free

Essay

Q 282Q 282

The figure shows a graph of the velocity of an object as a function of time. What is the average acceleration of the object over the following time intervals?
(a)From t = 0 s to t = 5.0 s
(b)From t = 0 s to t = 8.0 s

Free

Essay

Q 283Q 283

The figure shows the velocity-versus-time graph for a basketball player traveling up and down the court in a straight-line path. Find the displacement of the player
(a)during the first two seconds.
(b)between t = 4 s and t = 8 s.

Free

Essay

Q 284Q 284

The figure shows a graph of the velocity of an object as a function of time. What is the displacement of the object from 0 s to 6.0 s?
A)20 m
B)40 m
C)60 m
D)80 m
E)100 m

Free

Multiple Choice

Q 285Q 285

The figure shows a graph of the velocity of an object as a function of time. What is the displacement of the object from 0 s to 8.0 s?
A)20 m
B)40 m
C)60 m
D)80 m
E)100 m

Free

Multiple Choice

Q 286Q 286

If a vector pointing upward has a positive magnitude, a vector pointing downward has a negative magnitude.

Free

True False

Q 287Q 287

Two displacement vectors have magnitudes of 5.0 m and 7.0 m, respectively. If these two vectors are added together, the magnitude of the sum
A)is equal to 2.0 m.
B)could be as small as 2.0 m or as large as 12 m.
C)is equal to 12 m.
D)is equal to 8.6 m.

Free

Multiple Choice

Q 288Q 288

Two vectors, of magnitudes 20 mm and 50 mm, are added together. Which one of the following is a possible value for the magnitude of the resultant?
A)10 mm
B)20 mm
C)40 mm
D)80 mm

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Multiple Choice

Q 289Q 289

The magnitude of the resultant of two vectors cannot be less than the magnitude of either of those two vectors.

Free

True False

Q 290Q 290

A student adds two displacement vectors that have the magnitudes of 12.0 m and 5.0 m. What is the range of possible answers for the magnitude of the resultant vector?

Free

Essay

Q 291Q 291

If + = and their magnitudes are given by A + B = C, then the vectors and are oriented
A)perpendicular relative to one other.
B)parallel to each other (in the same direction).
C)antiparallel to each other (in opposite directions).
D)It is impossible to know from the given information.

Free

Multiple Choice

Q 292Q 292

If - = 0, then the vectors and have equal magnitudes and are directed in the same direction.

Free

True False

Free

True False

Q 294Q 294

The sum of two vectors of fixed magnitudes has the greatest magnitude when the angle between these two vectors is
A)90°
B)180°
C)60°
D)0°
E)270°

Free

Multiple Choice

Q 295Q 295

The sum of two vectors of fixed magnitudes has its minimum magnitude when the angle between these vectors is
A)0°
B)90°
C)270°
D)180°
E)360°

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Multiple Choice

Q 296Q 296

Vectors and obey the equation + = 0. These vectors satisfy which one of the following statements?
A)Vectors and are at right angles to each other.
B)Vectors and point in the same direction.
C)Vectors and have the same magnitudes.
D)The magnitude of is the negative of the magnitude of .

Free

Multiple Choice

Q 297Q 297

Consider two vectors and shown in the figure. The difference - is best illustrated by
A)choice (a)
B)choice (b)
C)choice (c)
D)choice (d)

Free

Multiple Choice

Q 298Q 298

Consider two vectors and shown in the figure. The difference - is best illustrated by
A)choice (a)
B)choice (b)
C)choice (c)
D)choice (d)

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Multiple Choice

Free

True False

Free

True False

Free

True False

Q 302Q 302

If a vector has components A

_{x}< 0, and A_{y}> 0, then the angle that this vector makes with the positive x-axis must be in the range A)0° to 90° B)90° to 180° C)180° to 270° D)270° to 360° E)It cannot be determined without additional information.Free

Multiple Choice

Q 303Q 303

If a vector has components A

_{x}< 0, and A_{y}< 0, then the angle that this vector makes with the positive x-axis must be in the range A)0° to 90° B)90° to 180° C)180° to 270° D)270° to 360° E)cannot be determined without additional informationFree

Multiple Choice

Q 304Q 304

If a vector has components A

_{x}> 0, and A_{y}< 0, then the angle that this vector makes with the positive x-axis must be in the range A)0° to 90° B)90° to 180° C)180° to 270° D)270° to 360° E)cannot be determined without additional informationFree

Multiple Choice

Q 305Q 305

The eastward component of vector is equal to the westward component of vector and their northward components are equal. Which one of the following statements must be correct for these two vectors?
A)Vector is parallel to vector .
B)Vector is antiparallel (in the opposite direction)to vector .
C)Vector must be perpendicular to vector .
D)The magnitude of vector must be equal to the magnitude of vector .
E)The angle between vector and vector must be 90°.

Free

Multiple Choice

Q 306Q 306

Vector is along the +x-axis and vector is along the +y-axis. Which one of the following statements is correct with respect to these vectors?
A)The x component of vector is equal to the x component of vector .
B)The y component of vector is equal to the y component of vector .
C)The x component of vector is equal to the y component of vector .
D)The y component of vector is equal to the x component of vector .

Free

Multiple Choice

Q 307Q 307

A boulder rolls off of a very high cliff and experiences no significant air resistance. While it is falling, its trajectory is never truly vertical.

Free

True False

Q 308Q 308

For general projectile motion with no air resistance, the horizontal component of a projectile's velocity
A)remains zero.
B)remains a non-zero constant.
C)continuously increases.
D)continuously decreases.
E)first decreases and then increases.

Free

Multiple Choice

Q 309Q 309

For general projectile motion with no air resistance, the horizontal component of a projectile's acceleration
A)is always zero.
B)remains a non-zero constant.
C)continuously increases.
D)continuously decreases.
E)first decreases and then increases.

Free

Multiple Choice

Q 310Q 310

For general projectile motion with no air resistance, the vertical component of a projectile's acceleration
A)is always zero.
B)remains a non-zero constant.
C)continuously increases.
D)continuously decreases.
E)first decreases and then increases.

Free

Multiple Choice

Q 311Q 311

Which of the following statements are true about an object in two-dimensional projectile motion with no air resistance? (There could be more than one correct choice.)
A)The speed of the object is constant but its velocity is not constant.
B)The acceleration of the object is +g when the object is rising and -g when it is falling.
C)The acceleration of the object is zero at its highest point.
D)The speed of the object is zero at its highest point.
E)The horizontal acceleration is always zero and the vertical acceleration is always a non-zero constant downward.

Free

Multiple Choice

Q 312Q 312

A ball is thrown horizontally from the top of a tower at the same instant that a stone is dropped vertically. Which object is traveling faster when it hits the level ground below if neither of them experiences any air resistance?
A)It is impossible to tell because we do not know their masses.
B)the stone
C)the ball
D)Both are traveling at the same speed.

Free

Multiple Choice

Q 313Q 313

In an air-free chamber, a pebble is thrown horizontally, and at the same instant a second pebble is dropped from the same height. Compare the times of fall of the two pebbles.
A)The thrown pebble hits first.
B)The dropped pebble hits first.
C)They hit at the same time.
D)We cannot tell without knowing which pebble is heavier.

Free

Multiple Choice

Q 314Q 314

A pilot drops a package from a plane flying horizontally at a constant speed. Neglecting air resistance, when the package hits the ground the horizontal location of the plane will
A)be behind the package.
B)be directly over the package.
C)be in front of the package.
D)depend on the speed of the plane when the package was released.

Free

Multiple Choice

Q 315Q 315

James and John dive from an overhang into the lake below. James simply drops straight down from the edge. John takes a running start and jumps with an initial horizontal velocity of 25 m/s. If there is no air resistance, when they reach the lake below
A)the splashdown speed of James is larger than that of John.
B)the splashdown speed of John is larger than that of James.
C)they will both have the same splashdown speed.
D)the splashdown speed of James must be 9.8 m/s larger than that of John.
E)the splashdown speed of John must be 25 m/s larger than that of James.

Free

Multiple Choice

Q 316Q 316

James and John dive from an overhang into the lake below. James simply drops straight down from the edge. John takes a running start and jumps with an initial horizontal velocity of 25 m/s. Compare the time it takes each to reach the lake below if there is no air resistance.
A)James reaches the surface of the lake first.
B)John reaches the surface of the lake first.
C)James and John will reach the surface of the lake at the same time.
D)Cannot be determined without knowing the mass of both James and John.
E)Cannot be determined without knowing the weight of both James and John.

Free

Multiple Choice

Q 317Q 317

A player kicks a soccer ball in a high arc toward the opponent's goal. At the highest point in its trajectory
A)both the velocity and the acceleration of the soccer ball are zero.
B)neither the ball's velocity nor its acceleration are zero.
C)the ball's acceleration is zero but its velocity is not zero.
D)the ball's acceleration points upward.
E)the ball's velocity points downward.

Free

Multiple Choice

Q 318Q 318

Mary and Debra stand on a snow-covered roof. They both throw snowballs with the same initial speed, but in different directions. Mary throws her snowball downward, at 30° below the horizontal; Debra throws her snowball upward, at 30° above the horizontal. Which of the following statements are true about just as the snowballs reach the ground below? (There could be more than one correct choice.)
A)Debra's snowball will have a higher speed than Mary's snowball.
B)Mary's snowball will have a higher speed than Debra's snowball.
C)Both snowballs will hit the ground with the same speed.
D)Both snowballs hit the ground at the same time.
E)Mary's snowball reaches the ground before Debra's snowball.

Free

Multiple Choice

Q 319Q 319

Mary and Debra stand on a snow-covered roof. They both throw snowballs with the same initial speed, but in different directions. Mary throws her snowball downward, at 30° below the horizontal; Debra throws her snowball upward, at 30° above the horizontal. Which of the following statements are true about just before the snowballs reach the ground below? (There could be more than one correct choice.)
A)Debra's snowball will stay in the air longer than Mary's snowball.
B)Mary's snowball will stay in the air longer than Debra's snowball.
C)Both snowballs will take the same amount of time to hit the ground.
D)Debra's snowball has exactly the same acceleration as Mary's snowball.
E)Mary's snowball has a greater downward acceleration than Debra's snowball.

Free

Multiple Choice

Q 320Q 320

A rock is thrown from the upper edge of a tall cliff at some angle above the horizontal. It reaches its highest point and starts falling down. Which of the following statements about the rock's motion are true just before it hits the ground? (There could be more than one correct choice.)
A)Its horizontal velocity component is zero.
B)Its velocity is vertical.
C)Its vertical velocity component is the same as it was just as it was launched.
D)Its horizontal velocity component is the same as it was just as it was launched.
E)Its speed is the same as it was just as it was launched.

Free

Multiple Choice

Q 321Q 321

If a satellite moves with constant speed in a perfectly circular orbit around the earth, what is the direction of the acceleration of the satellite?
A)in the forward direction
B)in the backward direction
C)outward away from the earth
D)inward toward the earth
E)The acceleration is zero because the speed is constant.

Free

Multiple Choice

Q 322Q 322

An object moves in a circular path at a constant speed. Compare the direction of the object's velocity and acceleration vectors.
A)Both vectors point in the same direction.
B)The vectors point in opposite directions.
C)The vectors are perpendicular to each other.
D)The acceleration is zero but the velocity is constant.

Free

Multiple Choice

Free

True False

Q 324Q 324

You are trying to cross a river that flows toward the south with a strong current. You start out in your motorboat on the east bank desiring to reach the west bank directly west from your starting point. You should head your motorboat
A)directly toward the west.
B)directly toward the north.
C)in a general southwesterly direction.
D)in a general northwesterly direction.

Free

Multiple Choice

Q 325Q 325

A velocity vector has components 36 m/s westward and 22 m/s northward. What are the magnitude and direction of this vector?

Free

Essay

Q 326Q 326

The x component of vector is 8.7 units, and its y component is -6.5 units. The magnitude of is closest to
A)9.9 units
B)7.9 units
C)8.9 units
D)11 units
E)12 units

Free

Multiple Choice

Q 327Q 327

When rolled down a mountainside at 7.0 m/s, the horizontal component of its velocity vector was 1.8 m/s. What was the angle of the mountain surface above the horizontal?
A)75°
B)57 °
C)33°
D)15°

Free

Multiple Choice

Q 328Q 328

When Jeff ran up a hill at 7.0 m/s, the horizontal component of his velocity vector was 5.1 m/s. What was the vertical component of Jeff's velocity?
A)4.8 m/s
B)4.3 m/s
C)3.8 m/s
D)3.4 m/s

Free

Multiple Choice

Q 329Q 329

The x component of vector is 5.3 units, and its y component is -2.3 units. The angle that vector makes with the +x-axis is closest to
A)340°
B)160°
C)250°
D)110°
E)23°

Free

Multiple Choice

Q 330Q 330

A vector in the xy-plane has an x component of -7.50 units. What must be the y component of this vector so that its magnitude is 10.0 units. (Note: There are two possible answers.)

Free

Essay

Q 331Q 331

A displacement vector is 34.0 m in length and is directed 60.0° east of north. Selecting from the choices in the table below, what are the components of this vector? Northward Eastward
Choice component component
1 29.4 m 17.0 m
2 18.2 m 28.1 m
3 22.4 m 11.5 m
4 17.0 m 29.4 m
5 25.2 m 18.2 m
A)choice 1
B)choice 2
C)choice 3
D)choice 4
E)choice 5

Free

Multiple Choice

Q 332Q 332

A player throws a football 50.0 m at 61.0° north of west. What is the westward component of the displacement of the football?
A)64.7m
B)55.0 m
C)0.00 m
D)74.0 m
E)24.2 m

Free

Multiple Choice

Q 333Q 333

A vector has components A

_{x}= 12.0 m and A_{y }= 5.00 m. (a)What is the angle that vector makes with the +x-axis? (b)What is the magnitude of vector ?Free

Essay

Q 334Q 334

The x and y components of a vector in a horizontal plane are 4.00 m and 3.00 m, respectively.
(a)What is the magnitude of this vector?
(b)What angle does this vector make with the positive +y-axis.

Free

Essay

Q 335Q 335

A boy jumps with a velocity of magnitude 20.0 m/s at an angle of 25.0° above the horizontal. What is the horizontal component of the boy's velocity?
A)18.1 m/s
B)15.6 m/s
C)8.45 m/s
D)12.6 m/s
E)9.33 m/s

Free

Multiple Choice

Q 336Q 336

The magnitude of is 5.5 m, and this vector lies in the second quadrant and makes an angle of 34 ° with the +y-axis. The components of are closest to:
A) = -3.1 m, = 4.6 m.
B) = 3.1 m, = -4.6 m.
C) = 4.6 m, = -3.1 m.
D) = -4.6 m, = 3.1 m.
E) = -4.6 m, = -3.1 m.

Free

Multiple Choice

Q 337Q 337

The components of vectors and are given as follows: = -9.2 = -4.5 = -6.1 = 4.3 The angle (less than 180°)between vectors and is closest to
A)77°.
B)103°.
C)10°.
D)170°.
E)84°.

Free

Multiple Choice

Q 338Q 338

A car travels 20 km west and then 20 km south. What is the magnitude of its displacement vector?
A)0 km
B)20 km
C)28 km
D)40 km

Free

Multiple Choice

Q 339Q 339

You walk to the north, then turn 60° to your right and walk another How far are you from where you originally started?
A)68 m
B)39 m
C)75 m
D)35 m

Free

Multiple Choice

Q 340Q 340

You walk 53 m to the north, then you turn 60° to your right and walk another Determine the direction of your displacement vector. Express your answer as an angle relative to east.
A)63° N of E
B)50° N of E
C)57° N of E
D)69° N of E

Free

Multiple Choice

Q 341Q 341

The components of vectors and are given as follows: A

_{x}= 7.6 B_{x}= -5.1 A_{y}= -9.2 B_{y}= -6.8 What is the magnitude of the vector difference - ? A)13 B)3.5 C)16 D)170 E)3.4Free

Multiple Choice

Q 342Q 342

If vector has components A

_{x}= -3.0 lb and A_{y}= -4.0 lb, and vector has components B_{x}= 3.0 lb and B_{y}= -8.0 lb, what is the magnitude of vector = - ? A)13 lb B)16 lb C)140 lb D)7.2 lbFree

Multiple Choice

Q 343Q 343

Vector has magnitude 2 units and is directed to the north. Vector has magnitude and is directed to the south. Calculate the magnitude and direction of
A)7 units, north
B)7 units, south
C)3 units, north
D)3 units, south

Free

Multiple Choice

Q 344Q 344

Two perpendicular vectors, and , are added together giving vector . If the magnitudes of both vectors and are doubled without changing their directions, the magnitude of vector will
A)increase by a factor of 8.
B)increase by a factor of 4.
C)increase by a factor of 2.
D)increase by a factor of .
E)not change.

Free

Multiple Choice

Q 345Q 345

Three ropes are tied in a knot as shown in the figure. One student pulls on rope A with 1.0 pound of force, and another student pulls on rope B with 7.0 pounds of force. How hard and in what direction must you pull on rope C to balance the first two pulls? Give the direction by specifying the angle (clockwise or counterclockwise)of the pull with the direction of rope A.

Free

Essay

Q 346Q 346

The figure shows two vectors and , along with their magnitudes and directions. The vector is given by = - . (a)What is the magnitude of vector ?
(b)What angle does vector make with the +x-axis?

Free

Essay

Q 347Q 347

Displacement vector is 5.5 cm long and points along the +x-axis. Displacement vector is 7.5 cm long and points at +30° to the -x-axis.
(a)Determine the x and y components of vector .
(b)Determine the x and y components of vector .
(c)Determine the x and y components of the resultant of these two vectors.
(d)Determine the magnitude and direction of the resultant of these two vectors.

Free

Essay

Q 348Q 348

Displacement vector is 75 cm long and points at 30° above the +x-axis. Displacement vector is 25 cm long and points along the -x-axis. Displacement vector is 40 cm long and points at 45° below the -x-axis.
(a)Determine the x and y components of vector .
(b)Determine the x and y components of vector .
(c)Determine the x and y components of vector .
(d)Determine the x and y components of the resultant of these three vectors.
(e)Determine the magnitude and direction of the resultant of these three vectors.

Free

Essay

Q 349Q 349

Vector = 4.00 m points eastward and vector = 3.00 m points southward. The resultant vector + is given by
A)5.00 m at an angle of 36.9° south of east.
B)5.00 m at an angle of 53.1° south of east.
C)5.00 m at an angle of 71.6° south of east.
D)5.00 m at an angle of 18.4° south of east.
E)5.00 m at an angle of 26.6° south of east.

Free

Multiple Choice

Q 350Q 350

Vector has a magnitude of 6.0 m and points 30° north of east. Vector has a magnitude of 4.0 m and points 30° east of north. The resultant vector + is given by
A)0.70 m at an angle of 42° north of east.
B)14 m at an angle of 42° north of east.
C)1.1 m at an angle of 42° north of east.
D)9.7 m at an angle of 42° north of east.
E)2.0 m at an angle of 42° north of east.

Free

Multiple Choice

Q 351Q 351

Vector has a magnitude of 6.0 m and points 30° north of east. Vector has a magnitude of 4.0 m and points 30° west of north. The resultant vector + is given by
A)9.8 m at an angle of 64° east of north.
B)9.8 m at an angle of 26° north of east.
C)7.2 m at an angle of 26° east of north.
D)3.3 m at an angle of 26° north of east.
E)3.3 m at an angle of 64° east of north.

Free

Multiple Choice

Q 352Q 352

Vector has a magnitude of 6.0 m and points 30° north of east. Vector has a magnitude of 4.0 m and points 30° west of south. The resultant vector + is given by
A)2.7 m at an angle of 8.3° south of east.
B)2.7 m at an angle of 8.3° east of south.
C)3.2 m at an angle of 8.3° east of south.
D)3.2 m at an angle of 8.3° south of east.
E)2.3 m at an angle of 8.3° south of east.

Free

Multiple Choice

Q 353Q 353

Vector has a magnitude of 6.0 m and points 30° south of east. Vector has a magnitude of 4.0 m and points 30° west of south. The resultant vector + is given by
A)7.2 m at an angle of 64° south of east.
B)3.3 m at an angle of 64° south of east.
C)9.8 m at an angle of 26° south of east.
D)9.8 m at an angle of 64° south of east.
E)3.3 m at an angle of 26° south of east.

Free

Multiple Choice

Q 354Q 354

Vector has a magnitude of 4.0 m and points 30° south of east. Vector has a magnitude of 2.0 m and points 30° north of west. The resultant vector + is given by
A)10.0 m at an angle 30° south of east.
B)10.0 m at an angle 60° east of south.
C)2.0 m at an angle 60° south of east.
D)2.0 m at an angle 30° south of east.
E)1.0 m at an angle 30° east of south.

Free

Multiple Choice

Q 355Q 355

Vector has a magnitude of 7.0 m and points 30° east of north. Vector has a magnitude of 5.0 m and points 30° west of south. The resultant vector + is given by
A)10.0 m at an angle 60° north of east.
B)10.0 m at an angle 30° east of north.
C)2.0 m at an angle 30° north of east.
D)2.0 m at an angle 60° north of east.
E)1.0 m at an angle 60° east of north

Free

Multiple Choice

Q 356Q 356

Vector has a magnitude of 6.0 m and points 30° east of south. Vector has a magnitude of 4.0 m and points 30° west of north. The resultant vector + is given by
A)2.0 m at an angle of 30° north of west.
B)2.0 m at an angle of 30° east of south.
C)10.0 m at an angle of 60° north of west.
D)10.0 m at an angle of 60° east of south.
E)1.0 m at an angle of 60° north of west.

Free

Multiple Choice

Q 357Q 357

Vector has a magnitude of 8.0 m and points east, vector has a magnitude of 6.0 m and points north, and vector has a magnitude of 5.0 m and points west. The resultant vector + + is given by
A)2.0 m at an angle 63° north of east.
B)2.0 m at an angle 63° east of north.
C)6.7 m at an angle 63° east of north.
D)6.7 m at an angle 63° north of east.
E)3.8 m at an angle 67° north of east

Free

Multiple Choice

Q 358Q 358

The figure shows three vectors and their magnitudes and relative directions. The magnitude of the resultant of the three vectors is closest to
A)19
B)16
C)13
D)10
E)7.0

Free

Multiple Choice

Q 359Q 359

Find the magnitude and direction of the resultant of the three force vectors, , , and , shown in the figure. These vectors have the following magnitudes: A = 5.0 lb, B = 7.9 lb, and C = 8.0 lb. Express the direction of the resultant by specifying the angle it makes with the +x-axis, with counterclockwise angles taken to be positive.

Free

Essay

Q 360Q 360

Two boys, Joe and Sam, who are searching for buried treasure start underneath the same tree. Joe walks 12 m east and then 12 m north, while Sam walks 15 m west and then 10 m south. Both boys then stop. Find the magnitude and direction of the vector from Sam to Joe. Express the direction of this vector by specifying the angle it makes with the west-to-east direction.

Free

Essay

Q 361Q 361

An airplane undergoes the following displacements, all at the same altitude: First, it flies in a direction 30.0° east of north. Next, it flies due south. Finally, it flies 30.0° north of west. Use components to determine how far the airplane ends up from its starting point.
A)71.5 km
B)73.0 km
C)74.4 km
D)70.1 km
E)68.7 km

Free

Multiple Choice

Q 362Q 362

Two forces are acting on an object as shown in the figure. Assume that all the quantities shown are accurate to three significant figures. (a)What is the magnitude of the resultant force on the object?
(b)What is the direction of the resultant force?

Free

Essay

Q 363Q 363

Three forces,

_{1},_{2}, and_{3}, each of magnitude 70 N, all act on an object as shown in the figure. The magnitude of the resultant force acting on the object is A)35 N. B)70 N. C)140 N. D)210 N. E)0 N.Free

Multiple Choice

Q 364Q 364

Three forces,

_{1},_{2}, and_{3}, all act on an object, as shown in the figure. The magnitudes of the forces are: F_{1}= 80.0 N, F_{2}= 60.0 N, and F_{3}= 40.0 N. The resultant force acting on the object is given by A)180 N at an angle of 60.0° with respect to +x-axis. B)60.0 N at an angle of 90.0° with respect to +x-axis. C)20.0 N at an angle of 34.3° with respect to +x-axis. D)35.5 N at an angle of 34.3° with respect to +x-axis. E)40.0 N at an angle of 60.0° with respect to +x-axis.Free

Multiple Choice

Q 365Q 365

Four vectors, , , , and , are shown in the figure. The sum of these four vectors is a vector having magnitude and direction
A)4.0 cm, along +x-axis.
B)4.0 cm, along -x-axis.
C)4.0 cm, along +y-axis.
D)4.0 cm, along -y-axis.
E)4.0 cm, 45° above +x-axis.

Free

Multiple Choice

Q 366Q 366

Vector has a magnitude of 8.0 m and points 30° north of east; vector has a magnitude of 6.0 m and points 30° west of north; and vector has a magnitude of 5.0 m and points 30° west of south. The resultant vector + + is given by
A)2.7 m at an angle 74° north of east.
B)5.9 m at an angle 74° north of east.
C)4.8 m at an angle 74° east of north.
D)5.1 m at an angle 74° north of east.
E)2.1 m at an angle 66° east of north.

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Multiple Choice

Q 367Q 367

The figure shows three vectors, , , and , having magnitudes 7.0 cm, 6.0 cm, and 4.0 cm, respectively. Find the x and y components of the resultant of these three vectors.

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Essay

Q 368Q 368

The figure shows four vectors, , , , and , having magnitudes 10.0 m, 8.00 m, 6.00 m, and 2.00 m, respectively. Find the magnitude of the sum of these four vectors.

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Essay

Q 369Q 369

The figure shows four vectors, , , , and , having magnitudes 12.0 m, 10.0 m, 8.0 m, and 4.0 m, respectively. The sum of these four vectors is
A)16.4 m at an angle 77.8° with respect to +x-axis.
B)16.4 m at an angle 12.3° with respect to +x-axis.
C)19.5 m at an angle 77.8° with respect to +x-axis.
D)19.5 m at an angle 12.3° with respect to +x-axis.
E)8.20 m at an angle 77.8° with respect to +x-axis.

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Multiple Choice

Q 370Q 370

The figure shows four vectors, , , , and . Vectors and each have a magnitude of 7.0 cm, and vectors and each have a magnitude of 4.0 cm. Find the x and y components of the sum of these four vectors.

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Essay

Q 371Q 371

The figure shows four vectors, , , , and . Vectors and both have a magnitude of 7.0 cm, and vectors and both have a magnitude of 4.0 cm. Find the magnitude and direction of the sum of these four vectors.

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Essay

Q 372Q 372

The figure shows three vectors, , , and , along with their magnitudes. Determine the magnitude and direction of the vector given by - - .

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Essay

Q 373Q 373

The figure shows three vectors, , , and , along with their magnitudes. Determine the magnitude and direction of the vector given by + - .

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Essay

Q 374Q 374

Three vectors, , , and , have the components shown in the table. What is the magnitude of the resultant of these three vectors?
A)5.50 m
B)13.0 m
C)11.1 m
D)7.00 m
E)2.00 m

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Multiple Choice

Q 375Q 375

Three vectors, , , and , have the components shown in the table. What angle does the resultant of these three vectors make with the +x-axis?
A)24° above the +x-axis
B)24° below the +x-axis
C)66° above the +x-axis
D)66° below the +x-axis

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Multiple Choice

Q 376Q 376

A runner runs on a circular path of radius 10 m. What is the magnitude of the displacement of the jogger if he runs
(a)half-way around the track?
(b)all the way around the track?

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Essay

Q 377Q 377

A player hits a tennis ball into the air with an initial velocity of 32 m/s at 35° from the vertical. How fast is the ball moving at the highest point in its trajectory if air resistance is negligible?

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Essay

Q 378Q 378

A ball is thrown with an initial velocity of 20 m/s at an angle of 60° above the horizontal. If we can neglect air resistance, what is the horizontal component of its instantaneous velocity at the exact top of its trajectory?
A)10 m/s
B)17 m/s
C)20 m/s
D)zero

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Multiple Choice

Q 379Q 379

A ball is thrown at an original speed of 8.0 m/s at an angle of 35° above the horizontal. If there is no air resistance, what is the speed of the ball when it returns to the same horizontal level?
A)4.0 m/s
B)8.0 m/s
C)16 m/s
D)9.8 m/s

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Multiple Choice

Q 380Q 380

A stone is thrown horizontally with an initial speed of 10 m/s from the edge of a cliff. A stopwatch measures the stone's trajectory time from the top of the cliff to the bottom to be 4.3 s. What is the height of the cliff if air resistance is negligibly small?
A)22 m
B)43 m
C)77 m
D)91 m

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Multiple Choice

Q 381Q 381

A girl throws a rock horizontally, with a velocity of 10 m/s, from a bridge. It falls 20 m to the water below. How far does the rock travel horizontally before striking the water, assuming negligible air resistance?
A)14 m
B)16 m
C)20 m
D)24 m

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Multiple Choice

Q 382Q 382

A ball thrown horizontally from a point 24 m above the ground, strikes the ground after traveling horizontally a distance of 18 m. With what speed was it thrown, assuming negligible air resistance?
A)6.1 m/s
B)7.4 m/s
C)8.1 m/s
D)8.9 m/s

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Multiple Choice

Q 383Q 383

As shown in the figure, a heavy rock is shot upward from the edge of a vertical cliff. It leaves the edge of the cliff with an initial velocity of 15 m/s directed at 25° from the vertical and experiences no appreciable air resistance as it travels. How high is the cliff?

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Essay

Q 384Q 384

The acceleration due to gravity on the Moon is only one-sixth of that on Earth, and the Moon has no atmosphere. If you hit a baseball on the Moon with the same effort (and therefore at the speed and angle)as on Earth, how far would the ball would travel on the Moon compared to on Earth? Neglect air resistance on Earth.
A)1/6 as far as on Earth
B)36 times as far as on Earth
C)the same distance as on Earth
D)6 times as far as on Earth
E) as far as on Earth

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Multiple Choice

Q 385Q 385

A boy throws a rock with an initial velocity of at 30.0° above the horizontal. How long does it take for the rock to reach the maximum height of its trajectory if air resistance is negligibly small and g = 9.80 m/s

^{2}? A)0.160 s B)0.282 s C)0.313 s D)0.441 sFree

Multiple Choice

Q 386Q 386

A cat leaps to try to catch a bird. If the cat's jump was at 60° off the ground and its initial velocity was what is the highest point of its trajectory, neglecting air resistance?
A)0.29 m
B)0.58 m
C)10.96 m
D)0.19 m

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Multiple Choice

Q 387Q 387

A fisherman casts his bait toward the river at an angle of 25° above the horizontal. As the line unravels, he notices that the bait and hook reach a maximum height of What was the initial velocity he launched the bait with? Assume that the line exerts no appreciable drag force on the bait and hook and that air resistance is negligible.
A)18 m/s
B)7.9 m/s
C)7.6 m/s
D)6.3 m/s

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Multiple Choice

Q 388Q 388

A football kicker is attempting a field goal from out. The ball is kicked and just clears the lower bar with a time of flight of If the angle of the kick was 45°, what was the initial speed of the ball, assuming no air resistance?
A)21.5 m/s
B)19.7 m/s
C)2.2 m/s
D)39 m/s

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Multiple Choice

Q 389Q 389

You throw a rock horizontally off a cliff with a speed of 20 m/s and no significant air resistance. After 2.0 s, the magnitude of the velocity of the rock is closest to
A)28 m/s
B)20 m/s
C)40 m/s
D)37 m/s

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Multiple Choice

Q 390Q 390

A shell is launched with a velocity of 100 m/s at an angle of 30.0° above horizontal from a point on a cliff 50.0 m above a level plain below. How far from the base of the cliff does the shell strike the ground? There is no appreciable air resistance, and g = 9.80 m/s

^{2}at the location of the cliff.Free

Essay

Q 391Q 391

At target practice, a rifle bullet is fired at an angle of 30° below the horizontal with an initial velocity of 800 m/s from the top of a cliff 80 m high. How far from the base of the cliff does it strike the level ground below if air resistance is negligible?

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Essay

Q 392Q 392

A batter hits a home run in which the ball travels 110 m horizontally with no appreciable air resistance. If the ball left the bat at 50° above the horizontal just above ground level, how fast was it hit?

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Essay

Q 393Q 393

A marble moving 1.48 m/s rolls off the top edge of a 125-cm high table in a room where there is no appreciable air resistance and the acceleration due to gravity is 9.80 m/s

^{2}. (a)How far from the base of the table will it strike the floor? (b)How long will it be in the air?Free

Essay

Q 394Q 394

A hunter points a rifle horizontally and holds it 3.30 m above the ground. The bullet leaves the barrel at 325 m/s and experiences no significant air resistance. The acceleration due to gravity at this location is 9.80 m/s

^{2}. (a)How long does it take for the bullet to strike the ground? (b)How far horizontally does it travel?Free

Essay

Q 395Q 395

A girl throws a rock horizontally with a speed of 12 m/s from a bridge. It falls 2.28 s before hitting the water below. Neglect air resistance.
(a)How high is the bridge from the water below?
(b)How far horizontally does the rock travel before striking the water?

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Essay

Q 396Q 396

A celebrating student throws a water balloon horizontally from a dormitory window that is 50 m above the ground. It hits the ground at a point 60 m from the building without appreciable air resistance.
(a)What will be the horizontal component of the velocity of the balloon just before it hits the ground?
(b)What will be the magnitude of the vertical velocity of the balloon just before it hits the ground?

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Essay

Q 397Q 397

Enzo throws a rock horizontally with a speed of 12 m/s from a bridge. It falls for 2.28 s before reaching the water below with no appreciable air resistance. Just as the rock reaches the water, find
(a)the horizontal component of its velocity.
(b)the speed with which it is moving.

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Essay

Q 398Q 398

A ball rolls over the edge of a platform with a horizontal velocity of magnitude v. The height of the platform is 1.6 m and the horizontal range of the ball from the base of the platform is 20 m. What is the magnitude of v if air resistance is negligibly small?

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Essay

Q 399Q 399

A hockey puck slides off the edge of a platform with an initial velocity of 20 m/s horizontally. The height of the platform above the ground is 2.0 m. What is the magnitude of the velocity of the puck just before it touches the ground? You can neglect air resistance.
A)21 m/s
B)22 m/s
C)24 m/s
D)25 m/s
E)6.3 m/s

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Multiple Choice

Q 400Q 400

A hockey puck slides off the edge of a horizontal platform with an initial velocity of 20 m/s horizontally and experiences no significant air resistance. The height of the platform above the ground is 2.0 m. What is the magnitude of the vertical component of the velocity of the puck just before it hits the ground?
A)20 m/s
B)6.3 m/s
C)13 m/s
D)15 m/s
E)21 m/s

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Multiple Choice

Q 401Q 401

A hockey puck slides off the edge of a horizontal platform with an initial velocity of 28.0 m/shorizontally in a city where the acceleration due to gravity is 9.81 m/s

^{2}. The puck experiences no significant air resistance as it falls. The height of the platform above the ground is 2.00 m. What is the angle below the horizontal of the velocity of the puck just before it hits the ground? A)77.2° B)72.6° C)12.8° D)12.6° E)31.8°Free

Multiple Choice

Q 402Q 402

A plane flying horizontally at a speed of 50 m/s and at an elevation of 160 m drops a package, and 2.0 s later it drops a second package. How far apart will the two packages land on the ground if air resistance is negligible?
A)100 m
B)160 m
C)180 m
D)320 m

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Multiple Choice

Q 403Q 403

In a room where g = 9.81 m/s

^{2}, a hockey puck slides off the edge of a platform with an initial velocity of 28.0 m/s horizontally. The height of the platform above the ground is 2.00 m. What is the speed of the puck just before it hits the ground? The air resistance is negligibly small. A)48.2 m/s B)28.7 m/s C)28.0 m/s D)26.3 m/s E)6.26 m/sFree

Multiple Choice

Q 404Q 404

A ball rolls over the edge of a platform with only a horizontal velocity. The height of the platform is 1.6 m and the horizontal range of the ball from the base of the platform is 20 m. What is the horizontal velocity of the ball just before it touches the ground? Neglect air resistance.
A)35 m/s
B)9.8 m/s
C)20 m/s
D)4.9 m/s
E)70 m/s

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Multiple Choice

Q 405Q 405

A projectile is shot horizontally at 23.4 m/s from the roof of a building 55 m tall and experiences negligible air resistance.
(a)Determine the time necessary for the projectile to reach the ground below.
(b)Determine the distance from the base of the building that the projectile lands.
(c)Determine the horizontal and vertical components of the velocity just before the projectile reaches the ground.

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Essay

Q 406Q 406

A person throws a ball horizontally from the top of a building that is 24.0 m above the ground level. The ball lands 100 m down range from the base of the building. What was the initial velocity of the ball? Neglect air resistance and use g = 9.81 m/s

^{2}. A)202 m/s B)9.80 m/s C)19.6 m/s D)45.2 m/s E)94.4°Free

Multiple Choice

Q 407Q 407

A wind farm generator uses a two-bladed propeller mounted on a pylon at a height of 20 m, as shown in the figure. The width of the pylon is very narrow, and the length of each propeller blade is 12 m. A tip of the propeller breaks off just when the propeller is vertical. The fragment flies off horizontally, falls, and strikes the ground at point P with negligible air resistance. Just before the fragment broke off, the propeller was turning uniformly, taking 1.2 s for each rotation. How far is point P from the base of the pylon?
A)120 m
B)130 m
C)140 m
D)150 m
E)160 m

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Multiple Choice

Q 408Q 408

A boy throws a ball with an initial velocity of 25 m/s at an angle of 30° above the horizontal. If air resistance is negligible, how high above the projection point is the ball after 2.0 s?
A)5.4 m
B)13 m
C)25 m
D)43 m
E)50 m

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Multiple Choice

Q 409Q 409

A projectile is fired from ground level with a speed of 150 m/s at an angle 30° above the horizontal on an airless planet where g = 10.0 m/s

^{2}. What is the horizontal component of its velocity after 4.0 s? A)150 m/s B)35 m/s C)130 m/s D)75 m/s E)38 m/sFree

Multiple Choice

Q 410Q 410

A high-speed dart is shot from ground level with a speed of 150 m/s at an angle 30° above the horizontal. What is the vertical component of its velocity after 4.0 s if air resistance is neglected?
A)150 m/s
B)36 m/s
C)130 m/s
D)75 m/s
E)38 m/s

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Multiple Choice

Q 411Q 411

A projectile leaves the ground at 150 m/s and reaches a maximum height of 0.57 km. If there was no air resistance, at what angle above the horizontal did it leave the ground?

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Essay

Q 412Q 412

A child is trying to throw a ball over a fence. She gives the ball an initial speed of 8.0 m/s at an angle of 40° above the horizontal. The ball leaves her hand 1.0 m above the ground and the fence is 2.0 m high. The ball just clears the fence while still traveling upwards and experiences no significant air resistance. How far is the child from the fence?
A)0.73 m
B)1.6 m
C)2.7 m
D)3.8 m
E)7.5 m

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Multiple Choice

Q 413Q 413

A boy kicks a football from ground level with an initial velocity of 20 m/s at an angle of 30° above the horizontal. What is the horizontal distance to the point where the football hits the ground if we neglect air resistance?
A)20 m
B)35 m
C)18 m
D)60 m
E)30.0 m

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Multiple Choice

Q 414Q 414

An athlete competing in the long jump leaves the ground with a speed of 9.14 m/s at an angle of 55° with the vertical. What is the length of the athlete's jump if air resistance is of no significance?
A)0.88 m
B)8.0 m
C)12 m
D)17 m
E)4.0 m

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Multiple Choice

Q 415Q 415

An athlete competing in the long jump leaves the ground with a speed of 9.14 m/s at an angle of 35° above the horizontal. How long does the athlete stay in the air, assuming no significant air resistance?
A)0.50 s
B)0.88 s
C)1.1 s
D)2.5 s
E)0.54 s

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Multiple Choice

Q 416Q 416

An athlete participates in an interplanetary discus throw competition during an Olympiad that takes place on a planet where the acceleration due to gravity is 9.7 m/s

^{2}. He throws the discus with an initial velocity of 20 m/s at an angle of 60° from the vertical. Neglecting air resistance and the height of the discus at the point of release, what is the range of the discus? A)21 m B)60 m C)36 m D)40 m E)32 mFree

Multiple Choice

Q 417Q 417

A child throws a ball with an initial speed of 8.0 m/s at an angle of 40° above the horizontal. The ball leaves her hand 1.0 m above the ground and experiences no appreciable air resistance as it moves.
(a)How far from where the child is standing does the ball hit the ground?
(b)How long is the ball in flight before it hits the ground?
(c)What is the magnitude of the ball's velocity just before it hits the ground?

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Essay

Q 418Q 418

A child throws a ball with an initial speed of 8.0 m/s at an angle of 40° above the horizontal. The ball leaves her hand 1.0 m above the ground. At what angle below the horizontal does the ball approach the ground?
A)35°
B)42°
C)48°
D)40°
E)65°

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Multiple Choice

Q 419Q 419

The horizontal and vertical components of the initial velocity of a football are 16 m/s and 20 m/s respectively. If there is no air resistance, how long does it take the football to reach the top of its trajectory?
A)1.0 s
B)2.0 s
C)3.0 s
D)4.0 s
E)5.0 s

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Multiple Choice

Q 420Q 420

A projectile is fired at an angle above the horizontal at a location where g = 9.8 m/s

^{2}. The initial x and y components of its velocity are 86.6 m/s and 50 m/s respectively. At what angle was the projectile fired above the horizontal? A)45° B)60° C)30° D)90° E)75°Free

Multiple Choice