AP Physics Midterm Review- Kinematics

Which object is farthest from the origin at t = 2 seconds.

B) B

Which object is in it's initial position at t=2 seconds?

A) A

Which of the three cars had the greatest average speed during these 5 seconds?

A) car #2 and car #3 have the same average speed

At time t = 0, car X traveling with speed v0 passes car Y which is just starting to move. Both cars then travel on two parallel lanes of the same straight road. The graphs of speed v versus time t for both cars are shown above. 11. Which of the following is true at time t = 20 seconds?

A) car Y is behind car X

The graph above shows velocity v versus time t for an object in linear motion. Which of the following is a possible graph of position x versus time t for this object?

A) most rounded graph of options

The velocity vs. time graph for the motion of a car on a straight track is shown in the diagram. The thick line represents the velocity. Assume that the car starts at the origin x = 0. At which time is the car the greatest distance from the origin?

B) t= 5s

What is the acceleration of the toy car at t = 4 s?

C) 1 m/s squared

A projectile is fired with initial velocity vo at an angle 0 with the horizontal and follows the trajectory shown above. Which of the following pairs of graphs best represents the vertical components of the velocity and acceleration, v and a, respectively, of the projectile as functions of time t?

D) graph slanting downward and horizontal line in the negative plane

The position vs. time graph for an object moving in a straight line is shown below. What is the instantaneous velocity at t = 2 s?

A) -2 m/s

What is the marbles average acceleration between t = 3.1 s and t = 3.8 s?

A) -2.0 m/s squared

Two automobiles are 150 kilometers apart and traveling toward each other. One automobile is moving at 60 km/h and the other is moving at 40 km/h. In how many hours will they meet?

A) 1.5

A car starts from rest and uniformly accelerates to a final speed of 20.0 m/s in a time of 15.0 s. How far does the car travel during this time?

A) 150 m

The driver of a car makes an emergency stop by slamming on the car's brakes and skidding to a stop. How far would the car have skidded if it had been traveling twice as fast?

A) 4 times as far

A rock is dropped from the top of a tall tower. Half a second later another rock, twice as massive as the first, is dropped. Ignoring air resistance,

A) the distance between the rocks increases while both are falling

During a recent winter storm, bales of hay had to be dropped from an airplane to a herd of cattle below. Assume the airplane flew horizontally at an altitude of 180 m with a constant velocity of 50 m/s and dropped one bale of hay every two seconds. It is reasonable to assume that air resistance will be negligible for this situation. As the bales are falling through the air, what will happen to their distance of separation?

A) the distance of separation will increase

The free fall trajectory of an object thrown horizontally from the top of a building is shown as the dashed line in the figure. Which sets of arrows best correspond to the directions of the velocity and of the acceleration for the object at the point labeled P on the trajectory?

A) velocity is arrow pointing towards bottom right corner and acceleration is arrow pointing down

A rubber ball bounces on the ground as shown. After each bounce, the ball reaches one-half the height of the bounce before it. If the time the ball was in the air between the first and second bounce was 1 second. What would be the time between the second and third bounce?

B) 0.71 sec

The graph represents the relationship between distance and time for an object that is moving along a straight line. What is the instantaneous speed of the object at t = 5.0 seconds?

B) 0.8 m/s

A cart is initially moving at 0.5 m/s along a track. The cart comes to rest after traveling 1 m. The experiment is repeated on the same track, but now the cart is initially moving at 1 m/s. How far does the cart travel before coming to rest?

B) 2 m

What was the instantaneous velocity of the cart at 96 centimeters from the start?

B) 4.8 m/s

What was the total displacement of the toy car for the entire 10 second interval shown?

B) 6.5 meters

What is the average speed of the ball between 3 and 4 seconds?

B) 7.0 cm/s

At what time after t=0 does the object again pass through the it's initial position?

B) Between 1 and 2 seconds

From time t = 0 to time t = 40 seconds, the areas under both curves are equal. Therefore, which of the following is true at time t = 40 seconds?

B) Car Y is passing car X

Two arrows are launched at the same time with the same speed. Arrow A at an angle greater than 45 degrees, and arrow B at an angle less than 45 degrees. Both land at the same spot on the ground. Which arrow arrives first?

B) arrow B arrives first

A particle continuously moves in a circular path at constant speed in a counterclockwise direction. Consider a time interval during which the particle moves along this circular path from point P to point Q. Point Q is exactly half-way around the circle from Point P. What is the direction of the average velocity during this time interval?

B) arrow going towards the left

An object is thrown upwards with a velocity of 30 m/s near the surface of the earth. After two seconds what would be the direction of the displacement, velocity and acceleration?

B) displacement-up, velocity-up, acceleration-down

During an interval of time, a tennis ball is moved so that the angle between the velocity and the acceleration of the ball is kept at a constant 120º. Which statement is true about the tennis ball during this interval of time?

B) its speed decreases and it is changing its direction of travel

A snail is moving along a straight line. Its initial position is x0 = -5 meters and it is moving away from the origin and slowing down. In this coordinate system, the signs of the initial position, initial velocity and acceleration, respectively, are

B) negative, negative, positive

A child left her home and started walking at a constant velocity. After a time she stopped for a while and then continued on with a velocity greater than she originally had. All of a sudden she turned around and walked very quickly back home. Which of the following graphs best represents the distance versus time graph for her walk?

B) only graph that touches bottom only twice

Which of the following graphs would best represent acceleration versus time for the bouncing ball?

B) starts constant and ends constant in the negative part of graph goes up to a point in middle

In the absence of air resistance, if an object were to fall freely near the surface of the Moon,

B) the acceleration is constant

The position x of the body at t=11 seconds is

C) -36 meters

About how far apart from each other will the bales land on the ground?

C) 100 m

Which of the following is closest to the acceleration of the ball?

C) 2 cm/s squared

What would be the acceleration of the clown at 5 s?

C) 2.0 m/s squared

How far from the base of the cliff would the diver have landed if the diver initially had been moving horizontally with a speed of 2v?

C) 2d

A target T lies flat on the ground 3 m from the side of a building that is 10 m tall, as shown above. A student rolls a ball off the horizontal roof of the building in the direction of the target. Air resistance is negligible. The horizontal speed with which the ball must leave the roof if it is to strike the target is most nearly

C) 3/square root of 2 m/s

An object is released from rest and falls a distance h during the first second of time. How far will it fall during the next second of time?

C) 3h

If a ball is thrown directly upwards with twice the initial speed of another, how much higher will it be at its apex?

C) 4 times

ball which is dropped from the top of a building strikes the ground with a speed of 30 m/s. Assume air resistance can be ignored. The height of the building is approximately:

C) 45 m

Above is a graph of the distance vs. time for car moving along a road. According the graph, at which of the following times would the automobile have been accelerating positively?

C) 5, 29, and 57 minutes

Shown below is the velocity vs. time graph for a toy car moving along a straight line. What is the maximum displacement from start for the toy car?

C) 7 m

If car #3 continues to constantly accelerate at the same rate what will be its position at the end of 6 seconds?

C) 72 m

Consider the motion of an object given by the position vs. time graph shown. For what time(s) is the speed of the object greatest?

C) At time t= 4.0 s

A whiffle ball is tossed straight up, reaches a highest point, and falls back down. Air resistance is not negligible. Which of the following statements are true? I. The ball's speed is zero at the highest point. II. The ball's acceleration is zero at the highest point. III. The ball takes a longer time to travel up to the highest point than to fall back down.

C) I and II only

Three stones of different mass (1 m, 2m & 3m) are thrown vertically upward with different velocities (l v, 2v & 3v respectively). The diagram indicates the mass and velocity of each stone. Rank from high to low the maximum height of each stone. Assume air resistance is negligible.

C) III, II, I

A particle continuously moves in a circular path at constant speed in a counterclockwise direction. Consider a time interval during which the particle moves along this circular path from point P to point Q. Point Q is exactly half-way around the circle from Point P. What is the direction of the average acceleration during this time interval?

C) arrow pointing down

Which of the following sets of graphs might be the corresponding graphs of Position, Velocity, and Acceleration vs. Time for a moving particle?

C) flipped J, negative linear, horizontal line in negative

A large beach ball is dropped from the ceiling of a school gymnasium to the floor about 10 meters below. Which of the following graphs would best represent its velocity as a function of time? (do not neglect air resistance)

C) flipped exponential graph looking thing

An object is thrown with velocity v from the edge of a cliff above level ground. Neglect air resistance. In order for the object to travel a maximum horizontal distance from the cliff before hitting the ground, the throw should be at an angle θ with respect to the horizontal of

C) greater than zero but less than 45° above the horizontal

The following TWO questions refer to the following information. An ideal elastic rubber ball is dropped from a height of about 2 meters, hits the floor and rebounds to its original height. Which of the following graphs would best represent the distance above the floor versus time for the above bouncing ball?

C) looks like a v but with very rounded edges

The following TWO questions refer to the following information. At t0, two cars moving along a highway are side-by-side as they pass a third car stopped on the side of the road. At this moment the driver of the first car steps on the brakes while the driver of the stopped car begins to accelerate. The diagrams below show the positions of each car for the next 5 seconds. During which time interval would cars #2 and #3 be moving at the same average speed?

C) t2 to t3

An object is thrown with a fixed initial speed v0 at various angles α relative to the horizon. At some constant height h above the launch point the speed v of the object is measured as a function of the initial angle α. Which of the following best describes the dependence of v on α? (Assume that the height h is achieved, and assume that there is no air resistance.)

C) v will remain constant, independent of a

A rocket near the surface of the earth is accelerating vertically upward at 10 m/s2. The rocket releases an instrument package. Immediately after release the acceleration of the instrument package is:

D) 10 m/s squared down

Starting from rest at time t = 0, a car moves in a straight line with an acceleration given by the accompanying graph. What is the speed of the car at t = 3 s?

D) 10.5 m/s

What was the acceleration of the cart during the first 0.4 seconds?

D) 12 m/s squared

An arrow is aimed horizontally, directly at the center of a target 20 m away. The arrow hits 0.050 m below the center of the target. Neglecting air resistance, what was the initial speed of the arrow?

D) 200 m/s

The velocity vs. time graph for the motion of a car on a straight track is shown in the diagram. The thick line represents the velocity. Assume that the car starts at the origin x = 0. What is the average speed of the car for the 10 second interval?

D) 5.00 m/s

Between what times did the object have a non-zero acceleration?

D) 5s to 8s

The graph above represents position x versus time t for an object being acted on by a constant force. The average speed during the interval between 1 s and 2 s is most nearly

D) 6 m/s

A car starts from rest and accelerates as shown in the graph below. At what time would the car be moving with the greatest velocity?

D) 6 seconds

A toy car moves 3.0 m to the North in one second. The car then moves at 9.0 m/s due South for two seconds. What is the average speed of the car for this three second trip?

D) 7 m/s

After 12 seconds, how far is the clown from her original starting point?

D) 74 m

At what time would the car be farthest from its original starting position?

D) 8 seconds

Given the graph of the velocity vs. time of a duck flying due south for the winter. At what point did the duck stop its forward motion?

D) D

Which of the following graphs could correctly represent the motion of an object moving with a constant speed in a straight line?

D) Graphs I and IV only

Which object moves with constant non-zero acceleration?

D) Neither A nor B

A student is testing the kinematic equations for uniformly accelerated motion by measuring the time it takes for light-weight plastic balls to fall to the floor from a height of 3 m in the lab. The student predicts the time to fall using g as 9.80 m/s2 but finds the measured time to be 35% greater. Which of the following is the most likely cause of the large percent error?

D) The acceleration of the plastic balls is not uniform

A ball is thrown and follows the parabolic path shown above. Air friction is negligible. Point Q is the highest point on the path. Points P and R are the same height above the ground. How do the speeds of the ball at the three points compare?

D) Vq<Vp=Vr

Is it possible for an object's velocity to increase while its acceleration decreases?

D) Yes, an example would be a falling object in the presence of air resistance

Which of the following best shows the direction of the acceleration of the ball at point P?

D) arrow pointing downwards

The diagram below shows four cannons firing shells with different masses at different angles of elevation. The horizontal component of the shell's velocity is the same in all four cases. In which case will the shell have the greatest range if air resistance is neglected?

D) cannon D

Vectors V1 and V2 shown above have equal magnitudes. The vectors represent the velocities of an object at times t1, and t2, respectively. The average acceleration of the object between time t1 and t2 was

D) directed north of west

Which of the following pairs of graphs shows the distance traveled versus time and the speed versus time for an object uniformly accelerated from rest?

D) first graph- exponential shaped like a J second graph- positive linear

Starting from rest, object 1 falls freely for 4.0 seconds, and object 2 falls freely for 8.0 seconds. Compared to object 1, object 2 falls:

D) four times as far

For which time interval(s) did the marble have a positive acceleration?

D) from t=2.0 s to t=2.5 s, from t=5.8 s to t=6.2 s, and from t=8.4 s to t= 8.8s only

For which time interval(s) did the marble have a negative velocity?

D) from t=4.8 s to t=6.2 s to t=10.0s only

The graph above shows the velocity v as a function of time t for an object moving in a straight line. Which of the following graphs shows the corresponding displacement x as a function of time t for the same time interval?

D) most normal graph of all options /

When an object falls freely in a vacuum near the surface of the earth

D) the acceleration will remain constant

Two identical bowling balls A and B are each dropped from rest from the top of a tall tower as shown in the diagram below. Ball A is dropped 1.0 s before ball B is dropped but both balls fall for some time before ball A strikes the ground. Air resistance can be considered negligible during the fall. After ball B is dropped but before ball A strikes the ground, which of the following is true?

D) the distance between the two balls increases

The velocity of a projectile at launch has a horizontal component vh and a vertical component vv. Air resistance is negligible. When the projectile is at the highest point of its trajectory, which of the following shows the vertical and horizontal components of its velocity and the vertical component of its acceleration?

D) vertical velocity- 0 horizontal velocity- Vh vertical acceleration-g