Question 1

The graph represents the straight line motion of a car. How far does the car travel between t = 2 seconds and t = 5 seconds?

Accepted Answer

A)  4 m 
B)  12 m 
C)  24 m 
D)  36 m 
E)  60 m 
A)  4 m 
B)  12 m 
C)  24 m 
D)  36 m 
E)  60 m D

Question 2

You leave your house and drive to your friend's house, where you stay a while. Then you come back home. Which of the following must be true of your trip?

Accepted Answer

A)  Your instantaneous velocity was never zero. 
B)  Your average velocity was zero. 
C)  Your acceleration was constant. 
D)  Your net displacement was not zero. 
E)  Your average speed was zero. 
A)  Your instantaneous velocity was never zero. 
B)  Your average velocity was zero. 
C)  Your acceleration was constant. 
D)  Your net displacement was not zero. 
E)  Your average speed was zero. B

Question 3

An object starts from rest and has a constant acceleration of 3 m/s2. The position versus time graph for this object has a slope:

Accepted Answer

A)  that increases with time 
B)  that is constant 
C)  that decreases with time 
D)  of 3 m/s 
E)  of 3 m/s2 
A)  that increases with time 
B)  that is constant 
C)  that decreases with time 
D)  of 3 m/s 
E)  of 3 m/s2 A

Question 4

A car accelerates from rest on a straight road. A short time later, the car decelerates to a stop and then returns to its original position in a similar manner, by speeding up and then slowing to a stop. Which of the following five coordinate versus time graphs best describes the motion?

Accepted Answer

A)  I 
B)  II 
C)  III 
D)  IV 
E)  V 
A)  I 
B)  II 
C)  III 
D)  IV 
E)  V

Question 5

If you drop a rock and a feather, the rock hits the ground first. This demonstrates that:

Accepted Answer

A)  The acceleration of gravity is not constant. 
B)  Heavier objects are accelerated faster by gravity than lighter objects are. 
C)  Air resistance has a larger effect on feathers than on rocks. 
D)  Rocks can't fly. 
E)  Gravity has little effect on a feather. 
A)  The acceleration of gravity is not constant. 
B)  Heavier objects are accelerated faster by gravity than lighter objects are. 
C)  Air resistance has a larger effect on feathers than on rocks. 
D)  Rocks can't fly. 
E)  Gravity has little effect on a feather.

Question 6

Over a short interval near time t = 0 the coordinate of an automobile in meters is given by x(t) = 27t - 4.0t3, where t is in seconds. At the end of 1.0 s the acceleration of the auto is:

Accepted Answer

A)  23 m/s2 
B)  15 m/s2 
C)  -4.0 m/s2 
D)  -12 m/s2 
E)  -24 m/s2 
A)  23 m/s2 
B)  15 m/s2 
C)  -4.0 m/s2 
D)  -12 m/s2 
E)  -24 m/s2

Question 7

The area under a velocity-time graph represents:

Accepted Answer

A)  acceleration 
B)  change in acceleration 
C)  speed 
D)  change in velocity 
E)  displacement 
A)  acceleration 
B)  change in acceleration 
C)  speed 
D)  change in velocity 
E)  displacement

Question 8

A stone is released from a balloon that is descending at a constant speed of 10 m/s. Neglecting air resistance, after 20 s the speed of the stone is:

Accepted Answer

A)  2160 m/s 
B)  1760 m/s 
C)  206 m/s 
D)  196 m/s 
E)  186 m/s 
A)  2160 m/s 
B)  1760 m/s 
C)  206 m/s 
D)  196 m/s 
E)  186 m/s

Question 9

How far does a car travel in 6 s if its initial velocity is 2 m/s and its acceleration is 2 m/s2 in the same direction as its initial velocity?

Accepted Answer

A)  12 m 
B)  14 m 
C)  24 m 
D)  36 m 
E)  48 m 
A)  12 m 
B)  14 m 
C)  24 m 
D)  36 m 
E)  48 m

Question 10

A car moving with an initial velocity of 25 m/s north has a constant acceleration of 3 m/s2 south. After 6 seconds its velocity will be:

Accepted Answer

A)  7 m/s north 
B)  7 m/s south 
C)  43 m/s north 
D)  20 m/s north 
E)  20 m/s south 
A)  7 m/s north 
B)  7 m/s south 
C)  43 m/s north 
D)  20 m/s north 
E)  20 m/s south

Question 11

Neglecting the effect of air resistance, a stone dropped off a 175-m high building lands on the ground in:

Accepted Answer

A)  3 s 
B)  4 s 
C)  6 s 
D)  18 s 
E)  36 s 
A)  3 s 
B)  4 s 
C)  6 s 
D)  18 s 
E)  36 s

Question 12

All falling objects experience some air resistance, the effect of which is to decrease acceleration. When the falling object's acceleration reaches zero, the acceleration stops changing. Therefore, if you drop an object and it falls far enough for this to happen,

Accepted Answer

A)  its speed continues to increase all the way down. 
B)  its speed reaches a maximum value and then decreases. 
C)  its speed reaches a maximum value and then doesn't change. 
D)  its speed reaches a maximum value, decreases, and then increases again. 
E)  Any of these things could happen. 
A)  its speed continues to increase all the way down. 
B)  its speed reaches a maximum value and then decreases. 
C)  its speed reaches a maximum value and then doesn't change. 
D)  its speed reaches a maximum value, decreases, and then increases again. 
E)  Any of these things could happen.

Question 13

This graph shows the velocity of a particle as a function of time. During what interval is its displacement negative?

Accepted Answer

A)  0 - 2 s 
B)  2s - 5 s 
C)  5 s - 9 s 
D)  0 - 9 s 
E)  Its displacement is not negative between 0 and 9 s. 
A)  0 - 2 s 
B)  2s - 5 s 
C)  5 s - 9 s 
D)  0 - 9 s 
E)  Its displacement is not negative between 0 and 9 s.

Question 14

A car starts from Hither, goes 50 km in a straight line to Yon, immediately turns around, and returns to Hither. The time for this round trip is 2 hours. The magnitude of the average velocity of the car for this round trip is:

Accepted Answer

A)  0 km/hr 
B)  50 km/hr 
C)  100 km/hr 
D)  200 km/hr 
E)  cannot be calculated without knowing the acceleration 
A)  0 km/hr 
B)  50 km/hr 
C)  100 km/hr 
D)  200 km/hr 
E)  cannot be calculated without knowing the acceleration

Question 15

Which of the following five acceleration versus time graphs is correct for an object moving in a straight line at a constant velocity of 20 m/s?

Accepted Answer

A)  I 
B)  II 
C)  III 
D)  IV 
E)  V 
A)  I 
B)  II 
C)  III 
D)  IV 
E)  V

Question 16

An object is shot vertically upward. While it is rising:

Accepted Answer

A)  its velocity and acceleration are both upward 
B)  its velocity is upward and its acceleration is downward 
C)  its velocity and acceleration are both downward 
D)  its velocity is downward and its acceleration is upward 
E)  its velocity and acceleration are both decreasing 
A)  its velocity and acceleration are both upward 
B)  its velocity is upward and its acceleration is downward 
C)  its velocity and acceleration are both downward 
D)  its velocity is downward and its acceleration is upward 
E)  its velocity and acceleration are both decreasing

Question 17

The diagram shows a velocity-time graph for a car moving in a straight line. At point P the car must be:

Accepted Answer

A)  moving with zero acceleration 
B)  climbing the hill 
C)  accelerating 
D)  stationary 
E)  moving at about 45° with respect to the x axis 
A)  moving with zero acceleration 
B)  climbing the hill 
C)  accelerating 
D)  stationary 
E)  moving at about 45° with respect to the x axis

Question 18

A racing car traveling with constant acceleration increases its speed from 10 m/s to 30 m/s over a distance of 60 m? How long does this take?

Accepted Answer

A)  2.0 s 
B)  3.0 s 
C)  5.0 s 
D)  6.0 s 
E)  The time cannot be calculated since the speed is not constant 
A)  2.0 s 
B)  3.0 s 
C)  5.0 s 
D)  6.0 s 
E)  The time cannot be calculated since the speed is not constant

Question 19

The coordinate of an object is given as a function of time by x = 7t - 3t2, where x is in meters and t is in seconds. Its average velocity over the interval from t = 0 to t = 2 s is:

Accepted Answer

A)  5 m/s 
B)  -5 m/s 
C)  11 m/s 
D)  -11 m/s 
E)  1 m/s 
A)  5 m/s 
B)  -5 m/s 
C)  11 m/s 
D)  -11 m/s 
E)  1 m/s

Question 20

Is it possible for an object to have zero velocity and constant nonzero acceleration?

Accepted Answer

A)  Yes, but only if it is not moving at all. 
B)  No, if its velocity is zero its acceleration must also be zero. 
C)  Yes, all objects with zero velocity have nonzero acceleration. 
D)  No, if its acceleration is not zero its velocity cannot be zero. 
E)  Yes, but its velocity must only be zero for an instant. 
A)  Yes, but only if it is not moving at all. 
B)  No, if its velocity is zero its acceleration must also be zero. 
C)  Yes, all objects with zero velocity have nonzero acceleration. 
D)  No, if its acceleration is not zero its velocity cannot be zero. 
E)  Yes, but its velocity must only be zero for an instant.

Exam 2: Motion Along a Straight Line

The graph represents the straight line motion of a car. How far does the car travel between t = 2 seconds and t = 5 seconds?

You leave your house and drive to your friend's house, where you stay a while. Then you come back home. Which of the following must be true of your trip?

An object starts from rest and has a constant acceleration of 3 m/s2. The position versus time graph for this object has a slope:

A car accelerates from rest on a straight road. A short time later, the car decelerates to a stop and then returns to its original position in a similar manner, by speeding up and then slowing to a stop. Which of the following five coordinate versus time graphs best describes the motion?

If you drop a rock and a feather, the rock hits the ground first. This demonstrates that:

Over a short interval near time t = 0 the coordinate of an automobile in meters is given by x(t) = 27t - 4.0t3, where t is in seconds. At the end of 1.0 s the acceleration of the auto is:

The area under a velocity-time graph represents:

A stone is released from a balloon that is descending at a constant speed of 10 m/s. Neglecting air resistance, after 20 s the speed of the stone is:

How far does a car travel in 6 s if its initial velocity is 2 m/s and its acceleration is 2 m/s2 in the same direction as its initial velocity?

A car moving with an initial velocity of 25 m/s north has a constant acceleration of 3 m/s2 south. After 6 seconds its velocity will be:

Neglecting the effect of air resistance, a stone dropped off a 175-m high building lands on the ground in:

All falling objects experience some air resistance, the effect of which is to decrease acceleration. When the falling object's acceleration reaches zero, the acceleration stops changing. Therefore, if you drop an object and it falls far enough for this to happen,

This graph shows the velocity of a particle as a function of time. During what interval is its displacement negative?

A car starts from Hither, goes 50 km in a straight line to Yon, immediately turns around, and returns to Hither. The time for this round trip is 2 hours. The magnitude of the average velocity of the car for this round trip is:

Which of the following five acceleration versus time graphs is correct for an object moving in a straight line at a constant velocity of 20 m/s?

An object is shot vertically upward. While it is rising:

The diagram shows a velocity-time graph for a car moving in a straight line. At point P the car must be:

A racing car traveling with constant acceleration increases its speed from 10 m/s to 30 m/s over a distance of 60 m? How long does this take?

The coordinate of an object is given as a function of time by x = 7t - 3t2, where x is in meters and t is in seconds. Its average velocity over the interval from t = 0 to t = 2 s is:

Is it possible for an object to have zero velocity and constant nonzero acceleration?

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An object starts from rest and has a constant acceleration of 3 m/s². The position versus time graph for this object has a slope:

Over a short interval near time t = 0 the coordinate of an automobile in meters is given by x(t) = 27t - 4.0t³, where t is in seconds. At the end of 1.0 s the acceleration of the auto is:

How far does a car travel in 6 s if its initial velocity is 2 m/s and its acceleration is 2 m/s² in the same direction as its initial velocity?

A car moving with an initial velocity of 25 m/s north has a constant acceleration of 3 m/s² south. After 6 seconds its velocity will be:

The coordinate of an object is given as a function of time by x = 7t - 3t², where x is in meters and t is in seconds. Its average velocity over the interval from t = 0 to t = 2 s is: