Question 1

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

Accepted Answer

A)  moving with zero acceleration 
B)  traveling downhill 
C)  traveling below ground-level 
D)  reducing speed 
E)  traveling in the reverse direction to that at point P 
A)  moving with zero acceleration 
B)  traveling downhill 
C)  traveling below ground-level 
D)  reducing speed 
E)  traveling in the reverse direction to that at point P E

Question 2

The position y of a particle moving along the y axis depends on the time t according to the equation y = at - bt2. The dimensions of the quantities a and b are respectively:

Accepted Answer

A)  L2/T, L3/T2 
B)  L/T2, L2/T 
C)  L/T, L/T2 
D)  L3/T, T2/L 
E)  none of these 
A)  L2/T, L3/T2 
B)  L/T2, L2/T 
C)  L/T, L/T2 
D)  L3/T, T2/L 
E)  none of these C

Question 3

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)  27 m/s2 
B)  4.0 m/s2 
C)  -4.0 m/s2 
D)  -12 m/s2 
E)  -24 m/s2 
A)  27 m/s2 
B)  4.0 m/s2 
C)  -4.0 m/s2 
D)  -12 m/s2 
E)  -24 m/s2 E

Question 4

Each of four particles move along an x axis. Their coordinates (in meters) as functions of time (in seconds) are given by   Which of these particles have constant acceleration?

Accepted Answer

A)  All four 
B)  Only 1 and 2 
C)  Only 2 and 3 
D)  Only 3 and 4 
E)  None of them 
A)  All four 
B)  Only 1 and 2 
C)  Only 2 and 3 
D)  Only 3 and 4 
E)  None of them

Question 5

Of the following situations, which one is impossible?

Accepted Answer

A)  A body having velocity east and acceleration east 
B)  A body having velocity east and acceleration west 
C)  A body having zero velocity and non-zero acceleration 
D)  A body having constant acceleration and variable velocity 
E)  A body having constant velocity and variable acceleration 
A)  A body having velocity east and acceleration east 
B)  A body having velocity east and acceleration west 
C)  A body having zero velocity and non-zero acceleration 
D)  A body having constant acceleration and variable velocity 
E)  A body having constant velocity and variable acceleration

Question 6

The average speed of a moving object during a given interval of time is always:

Accepted Answer

A)  the magnitude of its average velocity over the interval 
B)  the distance covered during the time interval divided by the time interval 
C)  one-half its speed at the end of the interval 
D)  its acceleration multiplied by the time interval 
E)  one-half its acceleration multiplied by the time interval. 
A)  the magnitude of its average velocity over the interval 
B)  the distance covered during the time interval divided by the time interval 
C)  one-half its speed at the end of the interval 
D)  its acceleration multiplied by the time interval 
E)  one-half its acceleration multiplied by the time interval.

Question 7

Starting at time t = 0, an object moves along a straight line. Its coordinate in meters is given by x(t) = 75t - 1.0t3, where t is in seconds. When it momentarily stops its acceleration is:

Accepted Answer

A)  0 
B)  -73 m/s2 
C)  -30 m/s2 
D)  -9.8 m/s2 
E)  9.2 *103 m/s2 
A)  0 
B)  -73 m/s2 
C)  -30 m/s2 
D)  -9.8 m/s2 
E)  9.2 *103 m/s2

Question 8

The coordinate of a particle in meters is given by x(t) = 16t - 3.0t3, where the time t is in seconds. The particle is momentarily at rest at t =

Accepted Answer

A)  0.75 s 
B)  1.3 s 
C)  5.3 s 
D)  7.3 s 
E)  9.3 s 
A)  0.75 s 
B)  1.3 s 
C)  5.3 s 
D)  7.3 s 
E)  9.3 s

Question 9

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 10

At a stop light, a truck traveling at 15 m/s passes a car as it starts from rest. The truck travels at constant velocity and the car accelerates at 3 m/s2. How much time does the car take to catch up to the truck?

Accepted Answer

A)  5 s 
B)  10 s 
C)  15 s 
D)  20 s 
E)  25 s 
A)  5 s 
B)  10 s 
C)  15 s 
D)  20 s 
E)  25 s

Question 11

The coordinate-time graph of an object is a straight line with a positive slope. The object has:

Accepted Answer

A)  constant displacement 
B)  steadily increasing acceleration 
C)  steadily decreasing acceleration 
D)  constant velocity 
E)  steadily increasing velocity 
A)  constant displacement 
B)  steadily increasing acceleration 
C)  steadily decreasing acceleration 
D)  constant velocity 
E)  steadily increasing velocity

Question 12

Throughout a time interval, while the speed of a particle increases as it moves along the x axis, its velocity and acceleration might be:

Accepted Answer

A)  positive and negative, respectively 
B)  negative and positive, respectively 
C)  negative and negative, respectively 
D)  negative and zero, respectively 
E)  positive and zero, respectively 
A)  positive and negative, respectively 
B)  negative and positive, respectively 
C)  negative and negative, respectively 
D)  negative and zero, respectively 
E)  positive and zero, respectively

Question 13

An object is thrown vertically upward with a certain initial velocity in a world where the acceleration due to gravity is 19.6 m/s2. The height to which it rises is ____ that to which the object would rise if thrown upward with the same initial velocity on the Earth. Neglect friction.

Accepted Answer

A)  half 
B)    
C)  twice 
D)  four times 
E)  cannot be calculated from the given data 
A)  half 
B)    
C)  twice 
D)  four times 
E)  cannot be calculated from the given data

Question 14

A feather, initially at rest, is released in a vacuum 12 m above the surface of the Earth. Which of the following statements is correct?

Accepted Answer

A)  The maximum velocity of the feather is 9.8 m/s 
B)  The acceleration of the feather decreases until terminal velocity is reached 
C)  The acceleration of the feather remains constant during the fall 
D)  The acceleration of the feather increases during the fall 
E)  The acceleration of the feather is zero 
A)  The maximum velocity of the feather is 9.8 m/s 
B)  The acceleration of the feather decreases until terminal velocity is reached 
C)  The acceleration of the feather remains constant during the fall 
D)  The acceleration of the feather increases during the fall 
E)  The acceleration of the feather is zero

Question 15

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 average speed of the car for this round trip is:

Accepted Answer

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

Question 16

A heavy ball falls freely, starting from rest. Between the third and fourth second of time it travels a distance of:

Accepted Answer

A)  4.9 m. 
B)  9.8 m. 
C)  29.4 m 
D)  34.3 m. 
E)  39.8 m. 
A)  4.9 m. 
B)  9.8 m. 
C)  29.4 m 
D)  34.3 m. 
E)  39.8 m.

Question 17

A particle moves on the x axis. When its acceleration is positive and increasing:

Accepted Answer

A)  its velocity must be positive 
B)  its velocity must be negative 
C)  it must be slowing down 
D)  it must be speeding up 
E)  none of the above must be true 
A)  its velocity must be positive 
B)  its velocity must be negative 
C)  it must be slowing down 
D)  it must be speeding up 
E)  none of the above must be true

Question 18

Each of four particles move along an x axis. Their coordinates (in meters) as functions of time (in seconds) are given by   Which of these particles is speeding up for t > 0?

Accepted Answer

A)  All four 
B)  Only 1 
C)  Only 2 and 3 
D)  Only 2, 3, and 4 
E)  None of them 
A)  All four 
B)  Only 1 
C)  Only 2 and 3 
D)  Only 2, 3, and 4 
E)  None of them

Question 19

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 20

A car starts from rest and goes down a slope with a constant acceleration of 5 m/s2. After 5 seconds the car reaches the bottom of the hill. Its speed at the bottom of the hill, in meters per second, is:

Accepted Answer

A)  1 
B)  12.5 
C)  25 
D)  50 
E)  160 
A)  1 
B)  12.5 
C)  25 
D)  50 
E)  160

Exam 2: Motion Along a Straight Line

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

The position y of a particle moving along the y axis depends on the time t according to the equation y = at - bt2. The dimensions of the quantities a and b are respectively:

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:

Each of four particles move along an x axis. Their coordinates (in meters) as functions of time (in seconds) are given by Which of these particles have constant acceleration?

Of the following situations, which one is impossible?

The average speed of a moving object during a given interval of time is always:

Starting at time t = 0, an object moves along a straight line. Its coordinate in meters is given by x(t) = 75t - 1.0t3, where t is in seconds. When it momentarily stops its acceleration is:

The coordinate of a particle in meters is given by x(t) = 16t - 3.0t3, where the time t is in seconds. The particle is momentarily at rest at t =

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:

At a stop light, a truck traveling at 15 m/s passes a car as it starts from rest. The truck travels at constant velocity and the car accelerates at 3 m/s2. How much time does the car take to catch up to the truck?

The coordinate-time graph of an object is a straight line with a positive slope. The object has:

Throughout a time interval, while the speed of a particle increases as it moves along the x axis, its velocity and acceleration might be:

An object is thrown vertically upward with a certain initial velocity in a world where the acceleration due to gravity is 19.6 m/s2. The height to which it rises is ____ that to which the object would rise if thrown upward with the same initial velocity on the Earth. Neglect friction.

A feather, initially at rest, is released in a vacuum 12 m above the surface of the Earth. Which of the following statements is correct?

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 average speed of the car for this round trip is:

A heavy ball falls freely, starting from rest. Between the third and fourth second of time it travels a distance of:

A particle moves on the x axis. When its acceleration is positive and increasing:

Each of four particles move along an x axis. Their coordinates (in meters) as functions of time (in seconds) are given by Which of these particles is speeding up for t > 0?

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

A car starts from rest and goes down a slope with a constant acceleration of 5 m/s2. After 5 seconds the car reaches the bottom of the hill. Its speed at the bottom of the hill, in meters per second, is:

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The position y of a particle moving along the y axis depends on the time t according to the equation y = at - bt². The dimensions of the quantities a and b are respectively:

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:

Starting at time t = 0, an object moves along a straight line. Its coordinate in meters is given by x(t) = 75t - 1.0t³, where t is in seconds. When it momentarily stops its acceleration is:

The coordinate of a particle in meters is given by x(t) = 16t - 3.0t³, where the time t is in seconds. The particle is momentarily at rest at t =

At a stop light, a truck traveling at 15 m/s passes a car as it starts from rest. The truck travels at constant velocity and the car accelerates at 3 m/s². How much time does the car take to catch up to the truck?

An object is thrown vertically upward with a certain initial velocity in a world where the acceleration due to gravity is 19.6 m/s². The height to which it rises is ____ that to which the object would rise if thrown upward with the same initial velocity on the Earth. Neglect friction.

A car starts from rest and goes down a slope with a constant acceleration of 5 m/s². After 5 seconds the car reaches the bottom of the hill. Its speed at the bottom of the hill, in meters per second, is: