Question 1

Starting at time t = 0, an object moves along a straight line with velocity in m/s given by v(t) = 98 - 2t2, where t is in seconds. When it momentarily stops its acceleration is:

Accepted Answer

A)  0 m/s2 
B)  -4.0 m/s2 
C)  -9.8 m/s2 
D)  -28 m/s2 
E)  49 m/s2

Question 2

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)  1.8 s 
D)  5.3 s 
E)  7.3 s

Question 3

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

Question 4

A freely falling body has a constant acceleration of 9.8 m/s2. This means that:

Accepted Answer

A)  the body falls 9.8 m during each second 
B)  the body falls 9.8 m during the first second 
C)  the speed of the body increases by 9.8 m/s during each second 
D)  the acceleration of the body increases by 9.8 m/s2 during each second 
E)  the acceleration of the body decreases by 9.8 m/s2 during each second

Question 5

Consider the following five graphs (note the axes carefully). Which of these represent(s) motion at constant speed?

Accepted Answer

A)  IV only 
B)  IV and V only 
C)  I, II, and III only 
D)  I and II only 
E)  I and IV only

Question 6

Over a short interval, starting at time t = 0, the coordinate of an automobile in meters is given by x(t) = 27t - 4.0t3, where t is in seconds. The magnitudes of the initial (at t = 0) velocity and acceleration of the auto respectively are:

Accepted Answer

A)  0 m/s; 12 m/s2 
B)  0 m/s; 24 m/s2 
C)  27 m/s; 0 m/s2 
D)  27 m/s; 12 m/s2 
E)  27 m/s; 24 m/s2

Question 7

Each of four particles moves along an x axis. Their coordinates (in meters) as functions of time (in seconds) are given by  For which of these particles is the velocity increasing 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

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

Question 9

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 velocity at t = 3s is:

Accepted Answer

A)  -6 m/s 
B)  -11 m/s 
C)  -21 m/s 
D)  9 m/s 
E)  18 m/s

Question 10

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

Accepted Answer

A)  64 s 
B)  32 s 
C)  16 s 
D)  8.0 s 
E)  4.0 s

Question 11

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. What is its speed at the bottom of the hill?

Accepted Answer

A)  1 m/s 
B)  12.5 m/s 
C)  25 m/s 
D)  50 m/s 
E)  160 m/s

Question 12

Which of the following five coordinate versus time graphs represents the motion of an object whose speed is increasing?

Accepted Answer

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

Question 13

A baseball is thrown vertically into the air. The acceleration of the ball at its highest point is:

Accepted Answer

A)  zero 
B)  g, down 
C)  g, up 
D)  2g. down 
E)  2g, up

Question 14

Which one of the following statements is correct for an object in free fall released from rest?

Accepted Answer

A)  The average velocity during the first second of time is 4.9 m/s 
B)  During each second the object falls 9.8 m 
C)  The acceleration changes by 9.8 m/s every second 
D)  The object falls 9.8 m during the first second of time 
E)  The acceleration of the object is proportional to its weight

Question 15

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

Question 16

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 s 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

Question 17

A drag racing car starts from rest at t = 0 and moves along a straight line with velocity given by v = bt2, where b is a constant. The expression for the distance traveled by this car from its position at t = 0 is:

Accepted Answer

A)  bt3 
B)  bt3/3 
C)  4bt2 
D)  3bt2 
E)  bt3/2

Question 18

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

Question 19

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

Accepted Answer

A)  The car's speed increases, then it 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 accelerates at -12 m/s2 for the last 4 s 
E)  The car returns to its starting point when t = 9 s

Question 20

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

Exam 2: Motion Along a Straight Line

Starting at time t = 0, an object moves along a straight line with velocity in m/s given by v(t) = 98 - 2t², 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 =

Of the following situations, which one is impossible?

A freely falling body has a constant acceleration of 9.8 m/s². This means that:

Consider the following five graphs (note the axes carefully) . Which of these represent(s) motion at constant speed?

Over a short interval, starting at time t = 0, the coordinate of an automobile in meters is given by x(t) = 27t - 4.0t³, where t is in seconds. The magnitudes of the initial (at t = 0) velocity and acceleration of the auto respectively are:

Each of four particles moves along an x axis. Their coordinates (in meters) as functions of time (in seconds) are given by For which of these particles is the velocity increasing for t > 0?

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

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 velocity at t = 3s is:

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

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. What is its speed at the bottom of the hill?

Which of the following five coordinate versus time graphs represents the motion of an object whose speed is increasing?

A baseball is thrown vertically into the air. The acceleration of the ball at its highest point is:

Which one of the following statements is correct for an object in free fall released from rest?

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:

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 s to t = 2 s:

A drag racing car starts from rest at t = 0 and moves along a straight line with velocity given by v = bt², where b is a constant. The expression for the distance traveled by this car from its position at t = 0 is:

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

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