Question 1

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 of the projectile is:

Accepted Answer

A)  9.8 m/s2 down 
B)  0 m/s2 
C)  9.8 m/s2 up 
D)  19.6 m/s2 up 
E)  none of the above

Question 2

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

Question 3

An object is dropped from rest. Which of the five following graphs correctly represents its motion? The positive direction is taken to be upward. Take careful note of the axes.

Accepted Answer

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

Question 4

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

Question 5

What is the relationship between instantaneous speed and instantaneous velocity?

Accepted Answer

A)  They are identical. 
B)  Instantaneous speed is the rate at which the instantaneous velocity is changing. 
C)  Instantaneous speed is the magnitude of the instantaneous velocity. 
D)  They are unrelated. 
E)  Instantaneous speed is the initial speed minus the final speed.

Question 6

An object starts from rest at the origin and moves along the x axis with a constant acceleration of 4 m/s2. Its average velocity as it goes from x = 2 m to x = 8 m is:

Accepted Answer

A)  1 m/s 
B)  2 m/s 
C)  3 m/s 
D)  5 m/s 
E)  6 m/s

Question 7

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

Question 8

A projectile is shot vertically upward with a given initial velocity. It reaches a maximum height of 100 m. If on a second shot the initial velocity is doubled, then the projectile will reach a maximum height of:

Accepted Answer

A)  70.7 m 
B)  141.4 m 
C)  200 m 
D)  241 m 
E)  400 m

Question 9

Which of the following five coordinate versus time graphs represents the motion of an object moving with a constant nonzero speed?

Accepted Answer

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

Question 10

An elevator is moving upward with constant acceleration. The dashed curve shows the position y of the ceiling of the elevator as a function of the time t. At the instant indicated by the dot, a bolt breaks loose and drops from the ceiling. Which curve best represents the position of the bolt as a function of time?

Accepted Answer

A)  A 
B)  B 
C)  C 
D)  D 
E)  E

Question 11

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

Question 12

An object with an initial velocity of 12 m/s west experiences a constant acceleration of 4 m/s2 west for 3 seconds. During this time the object travels a distance of:

Accepted Answer

A)  18 m 
B)  24 m 
C)  36 m 
D)  54 m 
E)  144 m

Question 13

An object is thrown vertically into the air. Which of the following five graphs represents the velocity (v) of the object as a function of the time (t)? The positive direction is taken to be upward.

Accepted Answer

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

Question 14

An object is thrown straight up from ground level with a speed of 50 m/s. If g = 10 m/s2 its distance above ground level 1.0 second later is:

Accepted Answer

A)  40 m 
B)  45 m 
C)  50 m 
D)  55 m 
E)  60 m

Question 15

A stone is released from rest from the edge of a building roof 190 m above the ground. Neglecting air resistance, the speed of the stone, just before striking the ground, is:

Accepted Answer

A)  43 m/s 
B)  61 m/s 
C)  120 m/s 
D)  190 m/s 
E)  1400 m/s

Question 16

A stone is dropped from a cliff. The graph (carefully note the axes) that best represents its motion while it falls is:

Accepted Answer

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

Question 17

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. 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

Question 18

An object is thrown straight up from ground level with a speed of 50 m/s. If g = 10 m/s2 its distance above ground level 6.0 s later is:

Accepted Answer

A)  0.00 m 
B)  270 m 
C)  330 m 
D)  480 m 
E)  none of these

Question 19

A ball is in free fall motion. Upward is taken to be the positive direction. The displacement of the ball is:

Accepted Answer

A)  positive during both ascent and descent 
B)  negative during both ascent and descent 
C)  negative during ascent and positive during descent 
D)  positive during ascent and negative during descent 
E)  none of the above

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

Exam 2: Motion Along a Straight Line

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 of the projectile is:

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

An object is dropped from rest. Which of the five following graphs correctly represents its motion? The positive direction is taken to be upward. Take careful note of the axes.

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?

What is the relationship between instantaneous speed and instantaneous velocity?

An object starts from rest at the origin and moves along the x axis with a constant acceleration of 4 m/s². Its average velocity as it goes from x = 2 m to x = 8 m is:

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

A projectile is shot vertically upward with a given initial velocity. It reaches a maximum height of 100 m. If on a second shot the initial velocity is doubled, then the projectile will reach a maximum height of:

Which of the following five coordinate versus time graphs represents the motion of an object moving with a constant nonzero speed?

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?

An object with an initial velocity of 12 m/s west experiences a constant acceleration of 4 m/s² west for 3 seconds. During this time the object travels a distance of:

An object is thrown vertically into the air. Which of the following five graphs represents the velocity (v) of the object as a function of the time (t) ? The positive direction is taken to be upward.

An object is thrown straight up from ground level with a speed of 50 m/s. If g = 10 m/s² its distance above ground level 1.0 second later is:

A stone is released from rest from the edge of a building roof 190 m above the ground. Neglecting air resistance, the speed of the stone, just before striking the ground, is:

A stone is dropped from a cliff. The graph (carefully note the axes) that best represents its motion while it falls 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. At the end of 4.0 s it has traveled:

An object is thrown straight up from ground level with a speed of 50 m/s. If g = 10 m/s² its distance above ground level 6.0 s later is:

A ball is in free fall motion. Upward is taken to be the positive direction. The displacement of the ball is:

Displacement can be obtained from: