Question 1

A particle moves along the x axis according to the equation x = 6t2 where x is in meters and t is in seconds. Therefore:

Accepted Answer

A)  the acceleration of the particle is 6 m/s2 
B)  t cannot be negative 
C)  the particle follows a parabolic path 
D)  each second the velocity of the particle changes by 9.8 m/s 
E)  none of the above 
A)  the acceleration of the particle is 6 m/s2 
B)  t cannot be negative 
C)  the particle follows a parabolic path 
D)  each second the velocity of the particle changes by 9.8 m/s 
E)  none of the above E

Question 2

Two automobiles are 150 kilometers apart and traveling toward each other. One automobile is moving at 60 km/h and the other is moving at 40 km/h. In how many hours will they meet?

Accepted Answer

A)  2.5 
B)  2.0 
C)  1.75 
D)  1.5 
E)  1.25 
A)  2.5 
B)  2.0 
C)  1.75 
D)  1.5 
E)  1.25 D

Question 3

An object is thrown straight down with an initial speed of 4 m/s from a window which is 8 m above the ground. The time it takes the object to reach the ground is:

Accepted Answer

A)  0.80 s 
B)  0.93 s 
C)  1.3 s 
D)  1.7 s 
E)  2.0 s 
A)  0.80 s 
B)  0.93 s 
C)  1.3 s 
D)  1.7 s 
E)  2.0 s B

Question 4

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

Question 5

At time t = 0 a car has a velocity of 16 m/s. It slows down with an acceleration given by -0.50t, in m/s2 for t in seconds. At the end of 4.0 s it has traveled:

Accepted Answer

A)  0 
B)  12 m 
C)  14 m 
D)  25 m 
E)  59 m 
A)  0 
B)  12 m 
C)  14 m 
D)  25 m 
E)  59 m

Question 6

The diagram represents the straight line motion of a car. Which of the following statements is true?

Accepted Answer

A)  The car accelerates, stops, and reverses 
B)  The car accelerates at 6 m/s2 for the first 2 s 
C)  The car is moving for a total time of 12 s 
D)  The car decelerates at 12 m/s2 for the last 4 s 
E)  The car returns to its starting point when t = 9 s 
A)  The car accelerates, stops, and reverses 
B)  The car accelerates at 6 m/s2 for the first 2 s 
C)  The car is moving for a total time of 12 s 
D)  The car decelerates at 12 m/s2 for the last 4 s 
E)  The car returns to its starting point when t = 9 s

Question 7

The velocity of an object is given as a function of time by v = 4t - 3t2, where v is in m/s and t is in seconds. Its average velocity over the interval from t = 0 to t = 2 s:

Accepted Answer

A)  is 0 
B)  is -2 m/s 
C)  is 2 m/s 
D)  is -4 m/s 
E)  cannot be calculated unless the initial position is given 
A)  is 0 
B)  is -2 m/s 
C)  is 2 m/s 
D)  is -4 m/s 
E)  cannot be calculated unless the initial position is given

Question 8

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 9

At time t = 0 a car has a velocity of 16 m/s. It slows down with an acceleration given by -0.50t, in m/s2 for t in seconds. By the time it stops it has traveled:

Accepted Answer

A)  15 m 
B)  31 m 
C)  62 m 
D)  85 m 
E)  100 m 
A)  15 m 
B)  31 m 
C)  62 m 
D)  85 m 
E)  100 m

Question 10

As a rocket is accelerating vertically upward at 9.8 m/s2 near the Earth's surface, it releases a projectile. Immediately after release the acceleration (in m/s2) of the projectile is:

Accepted Answer

A)  9.8 down 
B)  0 
C)  9.8 up 
D)  19.6 up 
E)  none of the above 
A)  9.8 down 
B)  0 
C)  9.8 up 
D)  19.6 up 
E)  none of the above

Question 11

A stone is thrown vertically upward with an initial speed of 19.5 m/s. It will rise to a maximum height of:

Accepted Answer

A)  4.9 m 
B)  9.8 m 
C)  19.4 m 
D)  38.8 m 
E)  none of these 
A)  4.9 m 
B)  9.8 m 
C)  19.4 m 
D)  38.8 m 
E)  none of these

Question 12

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 13

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 14

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)  4.0 s 
C)  5.0 s 
D)  8.0 s 
E)  The time cannot be calculated since the speed is not constant 
A)  2.0 s 
B)  4.0 s 
C)  5.0 s 
D)  8.0 s 
E)  The time cannot be calculated since the speed is not constant

Question 15

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 16

A particle moves along the x axis from xi to x f . Of the following values of the initial and final coordinates, which results in the displacement with the largest magnitude?

Accepted Answer

A)  xi = 4m, x f = 6m 
B)  xi = -4m, x f = -8m 
C)  xi = -4m, x f = 2m 
D)  xi = 4m, x f = -2m 
E)  xi = -4m, x f = 4m 
A)  xi = 4m, x f = 6m 
B)  xi = -4m, x f = -8m 
C)  xi = -4m, x f = 2m 
D)  xi = 4m, x f = -2m 
E)  xi = -4m, x f = 4m

Question 17

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 18

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

Question 19

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 20

Displacement can be obtained from:

Accepted Answer

A)  the slope of an acceleration-time graph 
B)  the slope of a velocity-time graph 
C)  the area under an acceleration-time graph 
D)  the area under a velocity-time graph 
A)  the slope of an acceleration-time graph 
B)  the slope of a velocity-time graph 
C)  the area under an acceleration-time graph 
D)  the area under a velocity-time graph

Exam 2: Motion Along a Straight Line

A particle moves along the x axis according to the equation x = 6t2 where x is in meters and t is in seconds. Therefore:

Two automobiles are 150 kilometers apart and traveling toward each other. One automobile is moving at 60 km/h and the other is moving at 40 km/h. In how many hours will they meet?

An object is thrown straight down with an initial speed of 4 m/s from a window which is 8 m above the ground. The time it takes the object to reach the ground is:

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

At time t = 0 a car has a velocity of 16 m/s. It slows down with an acceleration given by -0.50t, in m/s2 for t in seconds. At the end of 4.0 s it has traveled:

The diagram represents the straight line motion of a car. Which of the following statements is true?

The velocity of an object is given as a function of time by v = 4t - 3t2, where v is in m/s and t is in seconds. Its average velocity over the interval from t = 0 to t = 2 s:

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

At time t = 0 a car has a velocity of 16 m/s. It slows down with an acceleration given by -0.50t, in m/s2 for t in seconds. By the time it stops it has traveled:

As a rocket is accelerating vertically upward at 9.8 m/s2 near the Earth's surface, it releases a projectile. Immediately after release the acceleration (in m/s2) of the projectile is:

A stone is thrown vertically upward with an initial speed of 19.5 m/s. It will rise to a maximum height of:

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?

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

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?

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

A particle moves along the x axis from xi to x f . Of the following values of the initial and final coordinates, which results in the displacement with the largest magnitude?

The area under a velocity-time graph represents:

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:

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?

Displacement can be obtained from:

Measurement

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Motion in Two and Three Dimensions

Force and Motion I

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Kinetic Energy and Work

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Center of Mass and Linear Momentum

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Filters

A particle moves along the x axis according to the equation x = 6t² where x is in meters and t is in seconds. Therefore:

At time t = 0 a car has a velocity of 16 m/s. It slows down with an acceleration given by -0.50t, in m/s² for t in seconds. At the end of 4.0 s it has traveled:

The velocity of an object is given as a function of time by v = 4t - 3t², where v is in m/s and t is in seconds. Its average velocity over the interval from t = 0 to t = 2 s:

At time t = 0 a car has a velocity of 16 m/s. It slows down with an acceleration given by -0.50t, in m/s² for t in seconds. By the time it stops it has traveled:

As a rocket is accelerating vertically upward at 9.8 m/s² near the Earth's surface, it releases a projectile. Immediately after release the acceleration (in m/s²) of the projectile is:

A particle moves along the x axis from x_i to x_f. Of the following values of the initial and final coordinates, which results in the displacement with the largest magnitude?

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: