Multiple Choice Questions
Name ________________________
1.
A ball is thrown upward with an initial velocity of 20 m/s. How long will the ball take to reach
its maximum height?
a. 19.6 s
b. 9.8 s
c. 6.3 s
d. 3.4 s
e. 2.04 s
2.
An airplane lands on a runway with a velocity of 150 m/s. How far will it travel until it stops if
its rate of deceleration is constant at -3 m/s2?
a. 525 m
b. 3750 m
c. 6235 m
d. 9813 m
e. 10,435 m
3.
A ball is thrown downward from the top of a roof with a speed of 25 m/s. After 2 s, its velocity
will be
a. 19.6 m/s
b. -5.4 m/s
c. -44.6 m/s
d. 44.6 m/s
e. -25 m/s
4.
A rocket is propelled upward with an acceleration of 25 m/s2 for 5 s. After that time, the engine
is shut off, and the rocket continues to move upward. The maximum height, in meters that the
rocket will reach is
a. 900
b. 1000
c. 1100
d. 1200
e. 1400
5.
The total distance traveled by the object during the indicated 14 s is
a. 7.5 m
b. 25 m
c. 62.5 m
d. 77.5 m
e. 82.1 m
6.
The total displacement of the object during the 14 s indicated is
a. 7.5 m
b. 25 m
c. 62.5 m
d. 77.5 m
e. 82.1 m
7.
The average velocity, in meters per second, of the object is
a. 0
b. 0.5
c. 2.5
d. 4.5
e. 5.6
8.
What is the total change in velocity for the object whose acceleration versus time graph is given
below?
a.
40 m/s
b. -40 m/s
c. 80 m/s
d. -80 m/s
e. 0 m/s
9.
A particle moves along the x-axis subject to the following position function:
X(t) = 2t2 + 3t - 1
a.
2 m/s
b. 3.3 m/s
c. 5 m/s
d. 8.3 m/s
e. 9 m/s
10. An object has an initial velocity of 15 m/s. How long must it accelerate at a constant rate of 3
m/s2 before its average velocity is equal to twice its initial velocity?
a. 5 s
b. 10 s
c. 15 s
d. 20 s
e. 25 s
11. A projectile is launched at an angle of 45˚ with a velocity of 250 m/s. If air resistance is
neglected, the magnitude of the horizontal velocity of the projectile at the time it reaches
maximum altitude is equal to
a. 0 m/s
b. 175 m/s
c. 200 m/s
d. 250 m/s
e. 300 m/s
12. A projectile is launched horizontally with a velocity of 25 m/s from the top of a 75 m height.
How many seconds will the projectile take to reach the bottom?
a. 15.5
b. 9.75
c. 6.31
d. 4.27
e. 3.91
13. An object is launched from the ground with an initial velocity and angle such that the maximum
height achieved is equal to the total range of the projectile. The tangent of the launch angle is
equal to
a. 1
b. 2
c. 3
d. 4
e. 5
14. At a launch angle of 45˚, the range of a launched projectile is given by
a.
𝑣𝑖2
𝑔
b.
2𝑣𝑖2
𝑔
c.
𝑣𝑖2
2𝑔
𝑣2
d. √2𝑔𝑖
e.
2𝑣𝑖
𝑔
15. A projectile is launched at a certain angle. After 4 s, it hits the top of a building 500 m away.
The height of the building is 50 m. The projectile was launched at an angle of
a. 14˚
b. 21˚
c. 37˚
d. 76˚
e. 85˚
16. A projectile is launched at a velocity of 125 m/s at an angle of 20˚. A building is 200 m away. At
what height above the ground will the projectile strike the building?
a. 50.6 m
b. 90.2 m
c. 104.3 m
d. 114.6 m
e. 125.6 m
17. The operator of a boat wishes to cross a 5 km wide river that is flowing to the east at 10 m/s.
He wishes to reach the exact point on the opposite shore 15 min after starting. With what
speed and in what direction should the boat travel?
a. 11.2 m/s at 26.6˚ E of N
b. 8.66 m/s at 63.4˚ W of N
c. 11.2 m/s at 63.4˚ W of N
d. 8.66 m/s at 26.6˚ E of N
e. 5 m/s due N
18. An object is moving around a circle of radius 1.5 m at a constant velocity of 7 m/s. The
frequency of the motion, in revolutions per second, is
a. 0.24
b. 0.53
c. 0.67
d. 0.74
e. 0.98
19. A stereo turntable has a frequency of 33 rpm (revolutions per minute). A record of radius 15.25
cm is placed on the turntable and begins to rotate. The velocity of a point on the edge of the
record is
a. 2.16 m/s
b. 22.23 m/s
c. 0.53 m/s
d. 7.62 m/s
e. 13.5 m/s
20. In 3 s, an object moving around a circle sweeps out an angle of 9 rad. If the radius of the circle
is 0.5 m, the centripetal acceleration of the object is
a. 4.5 m/s2
b. 3 m/s2
c. 13.5 m/s2
d. 15 m/s2
e. 18 m/s2
21. You and your dog go for a walk to the park. On the way, your dog takes many side trips to
chase squirrels or examine fire hydrants. When you arrive at the park, do you and your dog
have the same displacement?
A. yes
b. no
22. Does the displacement of an object depend on the specific location of the origin of the
coordinate system?
a. Yes
b. no
c. it depends on the coordinate system
23. If the position of a car is zero, does its speed have to be zero?
a. Yes
b. no
c. it depends on the position
24. Does the odometer in a car measure distance or displacement?
a. Distance
b. displacement
c. both
25. Does the speedometer in a car measure velocity or speed?
a. Velocity
b. speed
c. both
d. neither
26. You drive for 30 min at 30 mi/hr and then for another 30 min at 50 mi/hr. What is your average
speed for the whole trip?
a. More than 40 mi/hr
b. equal to 40 mi/hr
c. less than 40 mi/hr
27. You drive 4 miles at 30 mi/hr and then another 4 miles at 50 mi/hr. What is your average speed
for the whole 8 mile trip?
a. More than 40 mi/hr
b. equal to 40 mi/hr
c. less than 40 mi/hr
28. If the average velocity is nonzero over some time interval, does this mean that the
instantaneous velocity is never zero during the same interval?
a. Yes
b. no
c. it depends
29. If the velocity of a car is nonzero, can the acceleration of the car be zero?
a. Yes
b. no
c. depends on the velocity
30. When throwing a ball straight up, which of the following is true about its velocity v and its
acceleration a at the highest point in its path?
a. Both v and a are equal to zero
b. b. v ≠ 0 but a = 0
c. v = 0 but a ≠ 0
d. both v ≠ 0 and a ≠ 0
e. not really sure
31. You throw a ball straight up into the air. After it leaves your hand, at what point in its flight
does it have the maximum value of acceleration?
a. Its acceleration is constant everywhere
b. At the top of its trajectory
c. Halfway to the top of its trajectory
d. Just after it leaves your hand
e. Just before it returns to your hand on the way down
32. Alice and Bill are at the top of a building. Alice throws her ball downward. Bill simply drops his
ball. Which ball has the greater acceleration just after release?
a. Alice’s ball
b. It depends on how hard the ball was thrown
c. Neither – they actually have the same acceleration
d. Bill’s ball
33. You throw a ball upward with an initial speed of 10 m/s. Assuming that there is no air
resistance, what is its speed when it returns to you?
a. More than 10 m/s
b. 10 m/s
c. Less than 10 m/s
d. Zero
e. Need more information
34. Alice and Bill are at the top of a cliff of height H. Both throw a ball with initial speed v. Alice
straight downward and Bill straight up. The speeds of the balls when they hit the ground are va
and vb. If there is no air resistance, which is true?
a. va < vb
b. va = vb
c. va > vb
d. impossible to tell
35. A ball is thrown straight upward with some initial speed. When it reaches the top of its flight (at
height h), a second ball is thrown straight upward with the same initial speed. Where will the
balls cross paths?
a. At height h
b. Above height h/2
c. At height h/2
d. Below height h/2 but above 0
e. At height 0
36. You drop a rock off a bridge. When the rock has fallen 4 m, you drop a second rock. As the two
rocks continue to fall, what happens to their separation?
a. The separation increases as they fall
b. The separation stays constant at 4 m
c. The separation decreases as they fall
d. It is impossible to answer without some information
37. You drop a rock off a bridge. When the rock has fallen 4 m, you drop a second rock. As the two
rocks continue to fall, what happens to their velocities?
a. Both increase at the same rate
b. The velocity of the first rock increases faster than the velocity of the second
c. The velocity of the second rock increases faster than the velocity of the first
d. Both velocities stay constant
38. The graph of position versus time is given below. What can you say about the velocity of the
car over time?
a. It speeds up all the time
b. It slows down all the time
c. It moves at constant velocity
d. Sometimes it speeds up and sometimes it slows down
e. Not really sure