Question 1

Free fall: A ball is projected upward at time t = 0.00 s, from a point on a roof 70 m above the ground and experiences negligible air resistance. The ball rises, then falls and strikes the ground. The initial velocity of the ball is  Consider all quantities as positive in the upward direction. The velocity of the ball when it is  above the ground is closest to

Accepted Answer

A)   - 38 m/s.
B)   - 30 m/s.
C)   - 23 m/s.
D)   - 15 m/s.
E)   - 45 m/s. A

Question 2

Basic kinematics variables using calculus: 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 t = 1.00 s what is the displacement of the object between time t = 2.00 s and time t = 4.00 s?

Accepted Answer

A)   33.0 m
B)   30.0 m
C)   36.0 m
D)   27.0 m D

Question 3

Free fall: 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?

Accepted Answer

A)   487 m
B)   327 m
C)   320 m
D)   408 m
E)   160 m A

Question 4

Basic kinematics variables: If the fastest you can safely drive is  what is the longest time you can stop for dinner if you must travel  in  total?

Accepted Answer

A)   1.0 h
B)   1.3 h
C)   1.4 h
D)   You can't stop at all.

Question 5

Free fall: 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?

Accepted Answer

A)   hA/hB = 1/ A/hB = 1/   
B)   hA/hB = 1/2 
C)   hA/hB = 1/4 
D)   hA/hB = 1/8" class="answers-bank-image d-inline" rel="preload" >
B)   hA/hB = 1/2
C)   hA/hB = 1/4
D)   hA/hB = 1/8

Question 6

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

Accepted Answer

A)   80.0 m
B)   133 m
C)   226 m
D)   399 m

Question 7

Basic kinematics variables: Suppose that a car traveling to the west (the -x direction) begins to slow down as it approaches a traffic light. Which statement concerning its acceleration in the x direction is correct?

Accepted Answer

A)   Both its acceleration and its velocity are positive.
B)   Both its acceleration and its velocity are negative.
C)   Its acceleration is positive but its velocity is negative.
D)   Its acceleration is negative but its velocity is positive.

Question 8

Basic kinematics variables: 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. 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?

Accepted Answer

The answer of Basic kinematics variables: Arthur and Betty start...

Question 9

Basic kinematics variables: The figure shows the position of an object as a function of time, with all numbers accurate to two significant figures. Between time t = 0.0 s and time t = 9.0 s
(a) what is the average speed of the object?
(b) what is the average velocity of the object?

Accepted Answer

The answer of Basic kinematics variables: The figure shows the...

Question 10

Free fall: Which one of the following graphs could possibly represent the vertical position as a function of time for an object in free fall?

Accepted Answer

A)  
B)  
C)  
D)  
E)

Question 11

Free fall: Two identical stones are dropped from rest and feel no air resistance as they fall. Stone A is dropped from height h, and stone B is dropped from height 2h. If stone A takes time t to reach the ground, stone B will take time

Accepted Answer

A)   4t.
B)   2t.
C)   t  .
D)   t/ 
E)   t/2.

Question 12

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

Accepted Answer

A)   increases.
B)   decreases.
C)   increases and then decreases.
D)   decreases and then increases.

Question 13

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

Accepted Answer

A)   In equal times its speed changes by equal amounts.
B)   In equal times its velocity changes by equal amounts.
C)   In equal times it moves equal distances.
D)   A graph of its position as a function of time has a constant slope.
E)   A graph of its velocity as a function of time is a horizontal line.

Question 14

Free fall: Two objects are thrown from the top of a tall building and experience no appreciable air resistance. 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?

Accepted Answer

A)   The one thrown up is traveling faster.
B)   The one thrown down is traveling faster.
C)   They are traveling at the same speed.

Question 15

Basic kinematics variables using calculus: 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 t = 6.00 s?

Accepted Answer

A)   18.0 m/s
B)   54.0 m/s
C)   0.00 m/s
D)   15.0 m/s
E)   108 m/s

Question 16

Basic kinematics variables: The figure represents the position of a particle as it travels along the x-axis. Between t = 2 s and t = 4 s, what is (a) the average speed of the particle and (b) the average velocity of the particle?

Accepted Answer

The answer of Basic kinematics variables: The figure represents the...

Question 17

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

Accepted Answer

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.

Question 18

Free fall: 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

Accepted Answer

A)   g/4.
B)   g/2.
C)   g/  .
D)   g  .
E)   2g.

Question 19

Free fall: A ball is projected upward at time t = 0.0 s, from a point on a roof 90 m above the ground. The ball rises, then falls and strikes the ground. The initial velocity of the ball is  if air resistance is negligible. The time when the ball strikes the ground is closest to

Accepted Answer

A)   9.4 s
B)   9.0 s
C)   8.7 s
D)   9.7 s
E)   10 s

Question 20

Constant acceleration: A car starts from rest and accelerates with a constant acceleration of 1.00 m/s2 for 3.00 s. The car continues for 5.00 s at constant velocity. How far has the car traveled from its starting point?

Accepted Answer

A)   24.0 m
B)   9.00 m
C)   19.5 m
D)   4.50 m
E)   15.0 m

Exam 3: Motion in Two or Three Dimensions

Basic kinematics variables using calculus: 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 t = 1.00 s what is the displacement of the object between time t = 2.00 s and time t = 4.00 s?

Free fall: 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?

Basic kinematics variables: If the fastest you can safely drive is what is the longest time you can stop for dinner if you must travel in total?

Free fall: 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?

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

Basic kinematics variables: Suppose that a car traveling to the west (the -x direction) begins to slow down as it approaches a traffic light. Which statement concerning its acceleration in the x direction is correct?

Basic kinematics variables: The figure shows the position of an object as a function of time, with all numbers accurate to two significant figures. Between time t = 0.0 s and time t = 9.0 s (a) what is the average speed of the object? (b) what is the average velocity of the object?

Free fall: Which one of the following graphs could possibly represent the vertical position as a function of time for an object in free fall?

Free fall: Two identical stones are dropped from rest and feel no air resistance as they fall. Stone A is dropped from height h, and stone B is dropped from height 2h. If stone A takes time t to reach the ground, stone B will take time

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

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

Free fall: Two objects are thrown from the top of a tall building and experience no appreciable air resistance. 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?

Basic kinematics variables using calculus: 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 t = 6.00 s?

Basic kinematics variables: The figure represents the position of a particle as it travels along the x-axis. Between t = 2 s and t = 4 s, what is (a) the average speed of the particle and (b) the average velocity of the particle?

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

Free fall: A ball is projected upward at time t = 0.0 s, from a point on a roof 90 m above the ground. The ball rises, then falls and strikes the ground. The initial velocity of the ball is if air resistance is negligible. The time when the ball strikes the ground is closest to

Constant acceleration: A car starts from rest and accelerates with a constant acceleration of 1.00 m/s² for 3.00 s. The car continues for 5.00 s at constant velocity. How far has the car traveled from its starting point?

Exam 3: Motion in Two or Three Dimensions

Basic kinematics variables using calculus: 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 t = 1.00 s what is the displacement of the object between time t = 2.00 s and time t = 4.00 s?

Free fall: 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?

Basic kinematics variables: If the fastest you can safely drive is what is the longest time you can stop for dinner if you must travel in total?

Free fall: 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?

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

Basic kinematics variables: Suppose that a car traveling to the west (the -x direction) begins to slow down as it approaches a traffic light. Which statement concerning its acceleration in the x direction is correct?

Basic kinematics variables: The figure shows the position of an object as a function of time, with all numbers accurate to two significant figures. Between time t = 0.0 s and time t = 9.0 s (a) what is the average speed of the object? (b) what is the average velocity of the object?

Free fall: Which one of the following graphs could possibly represent the vertical position as a function of time for an object in free fall?

Free fall: Two identical stones are dropped from rest and feel no air resistance as they fall. Stone A is dropped from height h, and stone B is dropped from height 2h. If stone A takes time t to reach the ground, stone B will take time

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

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

Free fall: Two objects are thrown from the top of a tall building and experience no appreciable air resistance. 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?

Basic kinematics variables using calculus: 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 t = 6.00 s?

Basic kinematics variables: The figure represents the position of a particle as it travels along the x-axis. Between t = 2 s and t = 4 s, what is (a) the average speed of the particle and (b) the average velocity of the particle?

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

Free fall: A ball is projected upward at time t = 0.0 s, from a point on a roof 90 m above the ground. The ball rises, then falls and strikes the ground. The initial velocity of the ball is if air resistance is negligible. The time when the ball strikes the ground is closest to

Constant acceleration: A car starts from rest and accelerates with a constant acceleration of 1.00 m/s2 for 3.00 s. The car continues for 5.00 s at constant velocity. How far has the car traveled from its starting point?

Basic kinematics variables using calculus: 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 t = 1.00 s what is the displacement of the object between time t = 2.00 s and time t = 4.00 s?

Free fall: 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?

Basic kinematics variables using calculus: 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 t = 6.00 s?

Constant acceleration: A car starts from rest and accelerates with a constant acceleration of 1.00 m/s² for 3.00 s. The car continues for 5.00 s at constant velocity. How far has the car traveled from its starting point?