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Exam 2: Motion Along a Straight Line

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Question 21

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Arthur and Betty start walking toward each other when they are 100 m apart.Arthur has a speed of and Betty has a speed of Their dog,Spot,starts by Arthur's side at the same time and runs back and forth between them at 5.0 m/s.By the time Arthur and Betty meet,what distance has Spot run?

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Question 22

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A ball is thrown directly upward and experiences no air resistance.Which one of the following statements about its motion is correct?

A) The acceleration of the ball is upward while it is traveling up and downward while it is traveling down.
B) The acceleration of the ball is downward while it is traveling up and upward while it is traveling down.
C) The acceleration is downward during the entire time the ball is in the air.
D) The acceleration of the ball is downward while it is traveling up and downward while it is traveling down but is zero at the highest point when the ball stops.

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Question 23

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If the acceleration of an object is negative,the object must be slowing down.

The figure shows the position of an object as a function of time.During the time interval from time and time (a)what is the length of the path the object followed? (b)what is the displacement of the object?

On the earth,when an astronaut throws a 0.250-kg stone vertically upward,it returns to his hand a time T later.On planet X he finds that,under the same circumstances,the stone returns to his hand in 2T.In both cases,he throws the stone with the same initial velocity and it feels negligible air resistance.The acceleration due to gravity on planet X (in terms of g) is

A car accelerates from to at a rate of How far does the car travel while accelerating?

A car starts from rest and accelerates with a constant acceleration of 1.00 m/s² for .The car continues for 5.00 s at constant velocity.How far has the car traveled from its starting point?

If an object is accelerating toward a point,then it must be getting closer and closer to that point.

The motion of a particle is described in the velocity versus time graph shown in the figure.We can say that its speed

Two identical objects A and B fall from rest from different heights to the ground and feel no appreciable air resistance.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?

The figure shows the graph of the position x as a function of time for an object moving in the straight line (the x-axis) .Which of the following graphs best describes the velocity along the x-axis as a function of time for this object?

A test rocket is fired straight up from rest with a net acceleration of 20.0 m/s².After 4.00 seconds the motor turns off,but the rocket continues to coast upward with no appreciable air resistance.What maximum elevation does the rocket reach?

The acceleration of an object as a function of time is given by a(t) = (3.00 m/s³) t,where t is in seconds.If the object has a velocity 1.00 m/s at time what is the displacement of the object between time t = 2.00 s and time t = 4.00 s?

A rock is thrown directly upward from the edge of the roof of a building that is 66.2 meters tall.The rock misses the building on its way down,and is observed to strike the ground 4.00 seconds after being thrown.Neglect any effects of air resistance.With what speed was the rock thrown?

At the same moment from the top of a building 3.0 × 10² m tall,one rock is dropped and one is thrown downward with an initial velocity of .Both of them experience negligible air resistance.How much EARLIER does the thrown rock strike the ground?

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 about these two vehicles since time t = 0?

The acceleration of an object as a function of time is given by a(t) = (3.00 m/s³) t,where t is in seconds.If the object is at rest at time t = 0.00 s,what is the velocity of the object at time ?

Suppose that an object is moving with constant nonzero acceleration.Which of the following is an accurate statement concerning its motion?

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? (You can ignore air resistance.)

A cat runs along a straight line (the x-axis)from point A to point B to point C,as shown in the figure.The distance between points A and C is 5.00 m,the distance between points B and C is 10.0 m,and the positive direction of the x-axis points to the right.The time to run from A to B is 20.0 s,and the time from B to C is 8.00 s.As the cat runs along the x-axis between points A and C (a)what is the magnitude of its average velocity? (b)what is its average speed?