Question 1

The velocity of an object as a function of time is given by v(t) = -3.0 m/s - (2.0 m/s2) t + (1.0 m/s3) t2. Determine the instantaneous acceleration at time t = 2.00 s.

Accepted Answer

A) -5.0 m/s2  
B) 2.0 m/s2  
C) -18 m/s2  
D) -3.0 m/s2  
E) 18 m/s2

Question 2

The area under a curve in a velocity versus time graph gives

Accepted Answer

A) distance traveled. 
B) displacement. 
C) speed. 
D) velocity. 
E) acceleration.

Question 3

Which statement is correct about the relationship between the average speed and the magnitude of the average velocity for any motion?

Accepted Answer

A) The average speed is always one-half the magnitude of the average velocity. 
B) The average speed is always greater than or equal to the magnitude of the average velocity. 
C) The average speed can be less than, greater than or equal to the magnitude of the average velocity. 
D) The average speed is always less than or equal to the magnitude of the average velocity. 
E) The average speed is always equal to the magnitude of the average velocity.

Question 4

It is possible to have a zero acceleration, and still be moving.

Accepted Answer

A) True 
 B)False

Question 5

A rock is dropped from a vertical cliff. The rock takes 7.00 s to reach the ground below the cliff. What is the height of the cliff?

Accepted Answer

A) 80.1 m 
B) 240 m 
C) 100 m 
D) 26.2 m 
E) 481 m

Question 6

FIGURE 2-7 
-Fig. 2-7 represents the velocity of a particle as it travels along the x-axis. At what value of t is the instantaneous acceleration equal to zero?

Accepted Answer

The answer of FIGURE 2-7 
-Fig. 2-7 represents the velocity...

Question 7

Two objects are dropped from a bridge, an interval of 1.0 s apart. During the time that both objects continue to fall, their separation

Accepted Answer

A) increases. 
B) decreases. 
C) stays constant. 
D) increases at first, but then stays constant. 
E) decreases at first, but then stays constant.

Question 8

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 0.5 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?

Accepted Answer

A) 10 m 
B) 13 m 
C) 16 m 
D) 18 m 
E) 26 m

Question 9

If the position versus time graph of an object is a horizontal line, the object is

Accepted Answer

A) moving with constant non-zero speed. 
B) moving with constant non-zero acceleration. 
C) at rest. 
D) moving with infinite speed. 
E) none of the above

Question 10

At a given instant, the acceleration of a certain particle is zero. This means that

Accepted Answer

A) the velocity is constant. 
B) the velocity is increasing. 
C) the velocity is decreasing. 
D) the velocity is not changing at that instant. 
E) the velocity is zero.

Question 11

FIGURE 2-4 
-A graph of position as a function of time is shown in Fig. 2-4. During which time interval could the object be possibly moving with non-zero constant acceleration?

Accepted Answer

A) 0.1 s to 1.9 s 
B) 4.1 s to 5.9 s 
C) 2.1 s to 3.9 s 
D) 6.1 s to 7.9 s 
E) There is no interval that is consistent with constant non-zero acceleration.

Question 12

A jet fighter plane is launched from a catapult on an aircraft carrier. It reaches a speed of 42 m/s at the end of the catapult, and this requires 2.0 s. Assuming the acceleration is constant, what is the length of the catapult?

Accepted Answer

A) 16 m 
B) 24 m 
C) 42 m 
D) 63 m 
E) 84 m

Question 13

When the velocity and acceleration of an object have opposite signs, the speed of the object increases.

Accepted Answer

A) True 
 B)False

Question 14

FIGURE 2-1 
-Fig. 2-1 shows the position of an object as a function of time. During which time interval is the object at rest between 0.0 s and 9.0 s?

Accepted Answer

A) The object is at rest between 6.0 s and 9.0 s. 
B) The object is always at rest except at the instants t = 3.0 s and t = 6.0 s. 
C) The object is at rest between 0.0 s and 3.0 s. 
D) The object is at rest between 3.0 s and 6.0 s. 
E) The object is never at rest.

Question 15

FIGURE 2-10 
-Fig. 2-10 shows the position of an object as a function of time. What is the displacement of the object between time  and time t = 9.0 s?

Accepted Answer

A) 3.0 m 
B) 19.5 m 
C) 5.0 m 
D) 1.0 m 
E) -1.0 m

Question 16

Which statement below about the distance between the starting and ending positions and the displacement between the starting and ending positions is correct?

Accepted Answer

A) The distance between the starting and ending positions is twice the magnitude of the displacement between the starting and ending positions. 
B) The distance between the starting and ending positions is equal to the magnitude of the displacement between the starting and ending positions. 
C) The distance between the starting and ending positions is the negative of the magnitude of the displacement between the starting and ending positions. 
D) The distance between the starting and ending positions is greater than the magnitude of the displacement between the starting and ending positions. 
E) The distance between the starting and ending positions is less than the magnitude of the displacement between the starting and ending positions.

Question 17

When the velocity and acceleration of an object have the same sign, the speed of the object increases.

Accepted Answer

A) True 
 B)False

Question 18

An object is dropped from a bridge. A second object is thrown downwards 1.00 s later. They both reach the water 20.0 m below at the same instant. What was the initial speed of the second object?

Accepted Answer

A) 4.91 m/s 
B) 14.6 m/s 
C) 9.90 m/s 
D) 19.6 m/s 
E) 21.3 m/s

Question 19

Two objects are thrown from the top of a tall building. 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. 
D) It is impossible to tell because the height of the building is not given. 
E) It is impossible to tell because a numerical value for the initial speed is not given.

Question 20

Which of the following graphs could possibly represent the motion as a function of time of an object in free fall?

Accepted Answer

A) 
 
B) 
 
C) 
 
D) 
 
E)

Exam 2: Describing Motion: Kinematics in One Dimension

The velocity of an object as a function of time is given by v(t) = -3.0 m/s - (2.0 m/s²) t + (1.0 m/s³) t². Determine the instantaneous acceleration at time t = 2.00 s.

The area under a curve in a velocity versus time graph gives

Which statement is correct about the relationship between the average speed and the magnitude of the average velocity for any motion?

It is possible to have a zero acceleration, and still be moving.

A rock is dropped from a vertical cliff. The rock takes 7.00 s to reach the ground below the cliff. What is the height of the cliff?

FIGURE 2-7 -Fig. 2-7 represents the velocity of a particle as it travels along the x-axis. At what value of t is the instantaneous acceleration equal to zero?

Two objects are dropped from a bridge, an interval of 1.0 s apart. During the time that both objects continue to fall, their separation

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 0.5 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?

If the position versus time graph of an object is a horizontal line, the object is

At a given instant, the acceleration of a certain particle is zero. This means that

FIGURE 2-4 -A graph of position as a function of time is shown in Fig. 2-4. During which time interval could the object be possibly moving with non-zero constant acceleration?

A jet fighter plane is launched from a catapult on an aircraft carrier. It reaches a speed of 42 m/s at the end of the catapult, and this requires 2.0 s. Assuming the acceleration is constant, what is the length of the catapult?

When the velocity and acceleration of an object have opposite signs, the speed of the object increases.

FIGURE 2-1 -Fig. 2-1 shows the position of an object as a function of time. During which time interval is the object at rest between 0.0 s and 9.0 s?

FIGURE 2-10 -Fig. 2-10 shows the position of an object as a function of time. What is the displacement of the object between time and time t = 9.0 s?

Which statement below about the distance between the starting and ending positions and the displacement between the starting and ending positions is correct?

When the velocity and acceleration of an object have the same sign, the speed of the object increases.

An object is dropped from a bridge. A second object is thrown downwards 1.00 s later. They both reach the water 20.0 m below at the same instant. What was the initial speed of the second object?

Two objects are thrown from the top of a tall building. 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?

Which of the following graphs could possibly represent the motion as a function of time of an object in free fall?