11. 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 first speeding up
and then slowing to a stop. Which of the following five coordinate versus time graphs
best describes the motion?
A) A
B) B
C) C
D) D
E) E
12. Throughout a time interval, while the speed of a particle increases as it moves along the
x axis, its velocity and acceleration:
A) might be in the positive and negative x directions, respectively
B) might be in the negative and positive x directions, respectively
C) might both be in the negative x direction
D) might be in the negative x direction and zero, respectively
E) might be in the positive x direction and zero, respectively
13. At time t = 0 a car has a velocity of (16 m/s) î. It slows down with an acceleration given
by (–0.50 m/s3)t î. By the time it stops it has traveled:
A) 15 m
B) 31 m
C) 62 m
D) 85 m
E) 100 m
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 average speed of the
car for this round trip is:
A) 0
B) 50 km/h
C) 100 km/h
D) 200 km/h
E) cannot be calculated without knowing the acceleration
15. Which of the following five coordinate versus time graphs represents the motion of an
object moving with a constant nonzero speed?
A) A
B) B
C) C
D) D
E) E
16. The graph represents the straight line motion of a car. How far does the car travel
between t = 2 s and t = 5 s?
A) 4 m
B) 12 m
C) 24 m
D) 36 m
E) 60 m
17. 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:
A) 0; (12 m/s2) î
B) 0; (24 m/s2) î
C) (27 m/s) î; 0
D) (27 m/s) î; (12 m/s2) î
E) (27 m/s) î; (24 m/s2) î
18. A particle moves along the x axis according to the equation x = 6t2, where x is in meters
and t is in seconds. Therefore:
A) the acceleration of the particle is (6 m/s2) î
B) t cannot be negative
C) the particle follows a parabolic path
D) each second the speed of the particle changes by 9.8 m/s
E) none of the above
19. Two automobiles are 150 kilometers apart and traveling toward each other on a straight
road. One automobile is moving at 60 km/h and the other is moving at 40 km/h mph. In
how many hours will they meet?
A) 2.5
B) 2.0
C) 1.75
D) 1.5
E) 1.25
20. 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:
A) (27 m/s2) î
B) (4.0 m/s2) î
C) (–4.0 m/s2) î
D) (–12 m/s2) î
1. A ball is in free fall. Upward is taken to be the positive direction. The displacement of
the ball during a short time interval is:
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
2. 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:
A) 0.80 s
B) 0.93 s
C) 1.3 s
D) 1.7 s
E) 2.0 s
3. A car travels east at constant velocity. The net force on the car is:
A) east
B) west
C) up
D) down
E) zero
4. A freely falling body has a constant acceleration with a magnitude of 9.8 m/s2. This
means that:
A) the body falls 9.8 m during each second
B) the body falls 9.8 m during the first second only
C) the speed of the body increases by 9.8 m/s during each second
D) the magnitude of the acceleration of the body increases by 9.8 m/s2 during each
second
E) the magnitude of the acceleration of the body decreases by 9.8 m/s2 during each
second
5. When a certain force is applied to the standard kilogram its acceleration is 5.0 m/s2.
When the same force is applied to another object its acceleration is one-fifth as much.
The mass of the object is:
A) 0.2 kg
B) 0.5 kg
C) 1.0 kg
D) 5.0 kg
E) 10 kg
6. An object dropped from the window of a tall building hits the ground in 12.0 s. If its
acceleration has a magnitude of 9.80 m/s2, the height of the window above the ground
is:
A) 29.4 m
B) 58.8 m
C) 118 m
D) 353 m
E) 706 m
7. One object is thrown vertically upward with an initial velocity of 100 m/s and another
object with an initial velocity of 10 m/s. The maximum height reached by the first
object will be ______ that of the other.
A) 10 times
B) 100 times
C) 1000 times
D) 10,000 times
E) none of these
8. An object is thrown straight up from ground level with a speed of 50 m/s. If the
magnitude of the local gravitational strength is g = 10 N/kg its distance above ground
level 6.0 s later is:
A) 0.00 m
B) 270 m
C) 330 m
D) 480 m
E) none of these
9. Three books (X, Y, and Z) rest on a table. The gravitational force on each book is
indicated. The net force on book Y is:
A) 4 N down
B) 5 N up
C) 9 N down
D) zero
E) none of these
10. A feather and a lead ball are dropped from rest in vacuum on the Moon. The
acceleration of the feather is:
A) more than that of the lead ball
B) the same as that of the lead ball
C) less than that of the lead ball
D) 9.8 m/s2
E) zero since it floats in a vacuum
