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College Physics Reasoning and Relationships

Physics & Astronomy

Quiz 3 :

Forces and Motion in One Dimension

Quiz 3 :

Forces and Motion in One Dimension

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A cart is given an initial velocity of 5.0 m/s and experiences a constant acceleration of 4.0 m/s2. What is the magnitude of the cart's displacement during the first 6.0 s of its motion?
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D

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A cheetah can run at approximately 100 km/hr and a gazelle at 80.0 km/hr. If both animals are running at full speed, with the gazelle 60.0 m ahead, how long before the cheetah catches its prey?
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D

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When a drag strip vehicle reaches a velocity of 60 m/s, it begins a negative acceleration by releasing a drag chute and applying its brakes. While reducing its velocity back to zero, its acceleration along a straight line path is a constant 6.0 m/s2. What displacement does it undergo during this deceleration period?
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B

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If the displacement of an object is given in SI units by x = 5t + t 2, at t = 2 s its velocity and acceleration are, respectively: (Hint: Use dimensional analysis along with the equations for motion with constant acceleration.)
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Norma releases a bowling ball from rest; it rolls down a ramp with constant acceleration. After half a second it has traveled 0.40 m. How far has it traveled after two seconds?
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A ball rolls down an incline, starting from rest. If the total time it takes to reach the end of the incline is T, how much time has elapsed when it is halfway down the incline?
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A European sports car dealer claims that his product will accelerate at a constant rate from rest to a speed of 100 km/hr in 9.00 s. What distance will the sports car travel during the 9.00 s acceleration period? (Hint: First convert speed to m/s.)
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A cheetah can maintain its maximum speed of 100 km/hr for 35.0 seconds. What minimum distance must a gazelle running 80.0 km/hr be ahead of the cheetah to escape?
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Rita accelerates a 0.40-kg ball from rest to 12 m/s during the 0.15 s in which her foot is in contact with the ball. What average force does she apply to the ball during the kick?
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A drag racer starts from rest and accelerates at 8.0 m/s2 for the entire distance of 400 m (1/4 mile). What is the speed of the race car at the end of the run?
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A baseball batter hits an incoming 40 m/s fastball. The ball leaves the bat at 60 m/s after a ball-on-bat contact time of 0.030 s. What is the force exerted on the 0.15 kg baseball?
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A shot-putter moves his arm and the 7.0-kg shot through a distance of 1.0 m, giving the shot a velocity of 15 m/s from rest. Find the average force exerted on the shot during this time.
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Starting from rest, a car accelerates down a straight road with constant acceleration a1 for a time t1, then the acceleration is changed to a different constant value a2 for an additional time t2. The total elapsed time is t1 + t2. Can the equations for motion with constant acceleration be used to find the total distance traveled?
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An automobile driver puts on the brakes and decelerates from 30.0 m/s to zero in 12.0 s. What distance does the car travel?
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An automobile of mass 2000 kg moving at 20 m/s is braked suddenly with a constant braking force of 10,000 N. How far does the car travel before stopping?
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Starting from rest, a car accelerates down a straight road with constant acceleration a for a time t, then the direction of the acceleration is reversed, i.e., it is a, and the car comes to a stop in an additional time t, the time for the whole trip being 2t. At what time, or times, is the average velocity of the car for the trip equal to its instantaneous velocity during the trip?
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A rock is rolled in the sand. It starts at 5.0 m/s, moves in a straight line for a distance of 6.0 m, and then stops. What is the magnitude of the average acceleration?
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A Cessna aircraft has a liftoff speed of 120 km/hr. What minimum constant acceleration does this require if the aircraft is to be airborne after a takeoff run of 200 m?
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A barefoot field-goal kicker imparts a speed of 30 m/s to a football at rest. If the football has a mass of 0.50 kg and time of contact with the football is 0.020 s, what is the force exerted on the foot?
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A vehicle designed to operate on a drag strip accelerates from zero to 30 m/s while undergoing a straight line path displacement of 60 m. What is the vehicle's acceleration if its value may be assumed to be constant?
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