Question 1

2-1
Peter noticed a bug crawling along a meter stick and decided to record the bug's position in five-second intervals.After the bug crawled off the meter stick, Peter created the table shown. 
-What is the displacement of the bug between t = 0.00 s and t = 20.0 s?
A)+39.9 cm
B)-39.9 cm
C)+65.7 cm
D)-16.1 cm
E)+16.1 cm

Accepted Answer

E

Question 2

A racecar, traveling at constant speed, makes one lap around a circular track of radius r in a time t.Note: The circumference of a circle is given by C = 2 $\pi$r.
-Determine the magnitude of the average velocity of the car for one complete lap.
A) 
B) 
C) 
D) 
E)zero meters/second

Accepted Answer

E

Question 3

Which one of the physical quantities listed below is not correctly paired with its SI unit and dimension? 
A) 
B) 
C) 
D) 
E)

Accepted Answer

D

Question 4

For which one of the following situations will the path length equal the magnitude of the displacement?
A)A toy train is traveling around a circular track.
B)A ball is rolling down an inclined plane.
C)A train travels 5 miles east before it stops.It then travels 2 miles west.
D)A ball rises and falls after being thrown straight up from the earth's surface.
E)A ball on the end of a string is moving in a vertical circle.

Accepted Answer

In this case, the path length and the magnitude of displacement will be equal because the ball is rolling down the inclined plane in a straight line, without changing direction. The other options involve curved or changing paths, where the path length and displacement magnitude are not equal.

Question 5

A bus leaves New York City, takes a non-direct route and arrives in St.Louis, Missouri 23 hours, 16 minutes later.If the distance between the two cities is 1250 km, what is the magnitude of the bus' average velocity?
A)37.2 km/h
B)41.4 km/h
C)46.0 km/h
D)53.7 km/h
E)58.1 km/h

Accepted Answer

To find average velocity, we need to use the formula: 
average velocity = total displacement / total time taken
Since the bus is travelling from NYC to St. Louis, its displacement is 1250 km towards the west.
Total time taken is 23 hours 16 minutes = 23.27 hours
Hence, average velocity = 1250 km / 23.27 hours = 53.7 km/h (rounded off to one decimal place)
Therefore, the correct answer is D) 53.7 km/h.

Question 6

2-1
Peter noticed a bug crawling along a meter stick and decided to record the bug's position in five-second intervals.After the bug crawled off the meter stick, Peter created the table shown. 
-What is the total distance that the bug traveled between t = 0.00 s and t = 20.0 s? Assume the bug only changed directions at the end of a five-second interval.
A)39.9 cm
B)65.7 cm
C)16.1 cm
D)47.1 cm
E)26.5 cm

Accepted Answer

The answer of 2-1
Peter noticed a bug crawling along a...

Question 7

During the first 18 minutes of a 1.0-hour trip, a car has an average speed of 11 m/s.What must the average speed of the car be during the last 42 minutes of the trip be if the car is to have an average speed of 21 m/s for the entire trip?
A)21 m/s
B)23 m/s
C)25 m/s
D)27 m/s
E)29 m/s

Accepted Answer

Let's use the formula for average speed:
average speed = total distance / total time

We don't know the total distance, but we do know the total time is 1.0 hour.
Let's call the average speed we need to find "x".

We know that for the first 18 minutes (which is 0.3 hours), the car traveled:
distance = speed x time = 11 m/s x 0.3 h = 3.3 km

We also know that for the entire trip, the distance divided by the time must equal 21 m/s:
total distance / 1.0 hour = 21 m/s
total distance = 21 km

So, we can use algebra to find the average speed the car must have for the last 42 minutes of the trip:
(total distance - 3.3 km) / 0.7 hours = x
(21 km - 3.3 km) / 0.7 hours = x
17.7 km / 0.7 hours = x
x = 25 m/s

Therefore, the average speed of the car must be 25 m/s during the last 42 minutes of the trip to have an average speed of 21 m/s for the entire trip.

Question 8

A particle travels along a curved path between two points P and Q as shown.The displacement of the particle does not depend on 
A)the location of P.
B)the location of Q.
C)the distance traveled from P to Q.
D)the shortest distance between P and Q.
E)the direction of Q from P.

Accepted Answer

The answer of A particle travels along a curved path...

Question 9

A turtle takes 3.5 minutes to walk 18 m toward the south along a deserted highway.A truck driver stops and picks up the turtle.The driver takes the turtle to a town 1.1 km to the north with an average speed of 12 m/s.What is the magnitude of the average velocity of the turtle for its entire journey?
A)3.6 m/s
B)9.8 m/s
C)6.0 m/s
D)2.6 m/s
E)11 m/s

Accepted Answer

The answer of A turtle takes 3.5 minutes to walk...

Question 10

Carl Lewis set a world record for the 100.0-m run with a time of 9.86 s.If, after reaching the finish line, Mr.Lewis walked directly back to his starting point in 90.9 s, what is the magnitude of his average velocity for the 200.0 m?
A)0 m/s
B)1.10 m/s
C)1.98 m/s
D)5.60 m/s
E)10.1 m/s

Accepted Answer

The answer of Carl Lewis set a world record for...

Question 11

A racecar, traveling at constant speed, makes one lap around a circular track of radius r in a time t.Note: The circumference of a circle is given by C = 2 $\pi$r.
-When the car has traveled halfway around the track, what is the magnitude of its displacement from the starting point?
A)r
B)2r
C)( $\pi$r)
D)(2 $\pi$r)
E)zero meters

Accepted Answer

When the car has traveled halfway around the track, it has gone a distance of half the circumference of the circle, which is (1/2)(2πr) = πr. 
Since it has traveled in a circle, its displacement is the distance from the starting point to the halfway point. This is equal to the radius of the circle (r). Therefore, the magnitude of its displacement is r. 
Choice A is incorrect because the car has not yet completed a full lap, so it has not returned to its starting point. 
Choice C and D are incorrect because they involve the circumference of the circle, which is not relevant to the displacement of the car. 
Choice E is incorrect because the car has clearly moved from its starting point.

Question 12

At time t = 0 s, an object is observed at x = 0 m; and its position along the x axis follows this expression: x = -4t + t², where the units for distance and time are meters and seconds, respectively.What is the object's displacemen$\Delta$x between t = 1.0 s and t = 3.0 s? A)+16 m B)-21 m C)+10 m D)+2 m E)-5 m

Accepted Answer

The answer of At time t = 0 s, an...

Question 13

A racecar, traveling at constant speed, makes one lap around a circular track of radius r in a time t.Note: The circumference of a circle is given by C = 2 $\pi$r.
-What is the average speed of the car for one complete lap?
A) 
B) 
C) 
D) 
E)zero meters/second

Accepted Answer

The answer of  
A racecar, traveling at constant speed,...

Question 14

A Canadian goose flew 845 km from Southern California to Oregon with an average speed of 28.0 m/s.How long, in hours, did it take the goose to make this journey?
A)27.7 h
B)8.33 h
C)66.1 h
D)7.70 h
E)8.38 h

Accepted Answer

The answer of A Canadian goose flew 845 km from...

Question 15

A car travels in a straight line covering a total distance of 90.0 miles in 60.0 minutes.Which one of the following statements concerning this situation is necessarily true?
A)The velocity of the car is constant.
B)The acceleration of the car must be non-zero.
C)The first 45 miles must have been covered in 30.0 minutes.
D)The speed of the car must be 90.0 miles per hour throughout the entire trip.
E)The average velocity of the car is 90.0 miles per hour in the direction of motion.

Accepted Answer

The distance covered in 60.0 minutes is 90.0 miles, which means the average speed of the car is 90.0 miles per hour (mph). However, since the car may have changed its speed during the trip, we cannot say that its speed was 90.0 mph throughout the entire trip. 
Moreover, since the car traveled in a straight line, we cannot assume that its velocity was constant either. The acceleration of the car could be zero if it maintained a constant speed, but we cannot say for sure. 
The statement in choice C may or may not be true since we do not know the details of how the car traveled. So, the only statement that we can necessarily say is true is that the average velocity of the car is 90.0 mph in the direction of motion.

Question 16

Alexa's hair grows with an average speed of 3.5 × 10^-⁹m/s.How long does it take her hair to grow 0.30 m? Note: 1 yr = 3.156 × 10⁷s. A)1.9 yr B)1.3 yr C)0.37 yr D)5.4 yr E)2.7 yr

Accepted Answer

The answer of Alexa's hair grows with an average speed...

Question 17

When the outdoor emergency warning siren at Cheryl's school was tested, the sound from the siren took 7.0 s to reach her house located 2.40 km from the school.What is the speed of sound in air?
A)240 m/s
B)340 m/s
C)440 m/s
D)540 m/s
E)640 m/s

Accepted Answer

The formula for speed is distance divided by time: 
speed = distance/time

In this case, the distance is 2.40 km (which we need to convert to meters) and the time is 7.0 s: 
distance = 2.40 km = 2400 m 
time = 7.0 s

Plugging these values into the formula, we get: 
speed = distance/time 
speed = 2400 m/7.0 s 
speed ≈ 343 m/s

This is closest to choice B, 340 m/s.

Question 18

In the process of delivering mail, a postal worker walks 161 m, due east from his truck.He then turns around and walks 194 m, due west from his truck.What is the worker's displacement relative to his truck?
A)33 m, due west
B)33 m, due east
C)194 m, due west
D)252 m, due east
E)355 m, due west

Accepted Answer

The answer of In the process of delivering mail, a...

Question 19

A racecar, traveling at constant speed, makes one lap around a circular track of radius r in a time t.Note: The circumference of a circle is given by C = 2 $\pi$r.
-In which one of the following situations does the car have a westward acceleration?
A)The car travels westward at constant speed.
B)The car travels eastward and speeds up.
C)The car travels westward and slows down.
D)The car travels eastward and slows down.
E)The car starts from rest and moves toward the east.

Accepted Answer

The answer of  
A racecar, traveling at constant speed,...

Question 20

A racecar, traveling at constant speed, makes one lap around a circular track of radius r in a time t.Note: The circumference of a circle is given by C = 2 $\pi$r.
-Which one of the following statements concerning this car is true?
A)The displacement of the car does not change with time.
B)The instantaneous velocity of the car is constant.
C)The average speed of the car is the same over any time interval.
D)The average velocity of the car is the same over any time interval.
E)The average speed of the car over any time interval is equal to the magnitude of the average velocity over the same time interval.

Accepted Answer

Since the car is traveling at a constant speed, its average speed over any time interval will also be the same. However, the car's direction is changing constantly as it moves around the circular track. Therefore, the magnitude of the average velocity over any time interval will not be the same, as velocity is a vector quantity that takes into account both speed and direction. Option A is incorrect because the car's displacement will change as it moves around the circular track. Option B is incorrect because the car's velocity is changing constantly as it moves around the circular track. Option D is incorrect for the same reason as option E, as the car's velocity will not be the same over any time interval due to the constantly changing direction.

Quiz 2: Kinematics in One Dimension

2-1 Peter noticed a bug crawling along a meter stick and decided to record the bug's position in five-second intervals.After the bug crawled off the meter stick, Peter created the table shown. -What is the displacement of the bug between t = 0.00 s and t = 20.0 s?

A racecar, traveling at constant speed, makes one lap around a circular track of radius r in a time t.Note: The circumference of a circle is given by C = 2 $\pi$ r. -Determine the magnitude of the average velocity of the car for one complete lap.

Which one of the physical quantities listed below is not correctly paired with its SI unit and dimension?

For which one of the following situations will the path length equal the magnitude of the displacement?

A bus leaves New York City, takes a non-direct route and arrives in St.Louis, Missouri 23 hours, 16 minutes later.If the distance between the two cities is 1250 km, what is the magnitude of the bus' average velocity?

During the first 18 minutes of a 1.0-hour trip, a car has an average speed of 11 m/s.What must the average speed of the car be during the last 42 minutes of the trip be if the car is to have an average speed of 21 m/s for the entire trip?

A particle travels along a curved path between two points P and Q as shown.The displacement of the particle does not depend on

A turtle takes 3.5 minutes to walk 18 m toward the south along a deserted highway.A truck driver stops and picks up the turtle.The driver takes the turtle to a town 1.1 km to the north with an average speed of 12 m/s.What is the magnitude of the average velocity of the turtle for its entire journey?

Carl Lewis set a world record for the 100.0-m run with a time of 9.86 s.If, after reaching the finish line, Mr.Lewis walked directly back to his starting point in 90.9 s, what is the magnitude of his average velocity for the 200.0 m?

A racecar, traveling at constant speed, makes one lap around a circular track of radius r in a time t.Note: The circumference of a circle is given by C = 2 $\pi$ r. -When the car has traveled halfway around the track, what is the magnitude of its displacement from the starting point?

At time t = 0 s, an object is observed at x = 0 m; and its position along the x axis follows this expression: x = -4t + t², where the units for distance and time are meters and seconds, respectively.What is the object's displacemen $\Delta$ x between t = 1.0 s and t = 3.0 s?

A racecar, traveling at constant speed, makes one lap around a circular track of radius r in a time t.Note: The circumference of a circle is given by C = 2 $\pi$ r. -What is the average speed of the car for one complete lap?

A Canadian goose flew 845 km from Southern California to Oregon with an average speed of 28.0 m/s.How long, in hours, did it take the goose to make this journey?

A car travels in a straight line covering a total distance of 90.0 miles in 60.0 minutes.Which one of the following statements concerning this situation is necessarily true?

Alexa's hair grows with an average speed of 3.5 × 10^-⁹m/s.How long does it take her hair to grow 0.30 m? Note: 1 yr = 3.156 × 10⁷s.

When the outdoor emergency warning siren at Cheryl's school was tested, the sound from the siren took 7.0 s to reach her house located 2.40 km from the school.What is the speed of sound in air?

In the process of delivering mail, a postal worker walks 161 m, due east from his truck.He then turns around and walks 194 m, due west from his truck.What is the worker's displacement relative to his truck?

A racecar, traveling at constant speed, makes one lap around a circular track of radius r in a time t.Note: The circumference of a circle is given by C = 2 $\pi$ r. -In which one of the following situations does the car have a westward acceleration?

A racecar, traveling at constant speed, makes one lap around a circular track of radius r in a time t.Note: The circumference of a circle is given by C = 2 $\pi$ r. -Which one of the following statements concerning this car is true?