Multiple Choice Questions
Name __________________________
1.
A ball is thrown off of a 25 m high cliff. Its initial velocity is 25 m/s, directed at an angle of 53˚ above the
horizontal. How much time elapses before the ball hits the ground?
a. 3 sec
b. 5 sec
c. 7 sec
d. 9 sec
e. 11 sec
2.
A ball is dropped off of a cliff of height h. Its velocity upon hitting the ground is v. At what height above the
ground is the ball’s velocity equal to v/2?
a. h/4
3.
b. h/2
c. h/√2
d. h/8
e. h/2√2
A golf cart moves with moderate speed as it reaches the base of a short but steep hill. The cart coasts up the
hill (without using its brake or gas pedal.) At the top of the hill the car just about comes to rest; but then the car
starts to coast down the other side of the hill. Consider the forward motion of the cart to be positive. Which of
the following velocity-time graphs best represents the motion of the cart?
4.
The velocity time graph below represents a car on a freeway. North is defined as the positive direction. Which
of the following describes the motion of the car?
a. The car is traveling north and slowing down.
b. The car is traveling south and slowing down.
c. The car is traveling north and speeding up.
d. The car is traveling south and speeding up.
e. The car is traveling northeast and speeding up.
5.
A car was caught in heavy traffic. After 20 sec of moving at constant speed, traffic cleared a bit, allowing the car
to speed up. The car’s motion is represented by the velocity time graph below. What was the car’s acceleration
while it was speeding up?
a. 0.5 m/s2
b. 1.0 m/s2
c. 1.5 m/s2
d. 2.0 m/s2
e. 3.0 m/s2
6.
A ball rolls horizontally with a speed v off of a table a height h above the ground. Just before the ball hits the
ground, what is its speed?
a. √2𝑔ℎ
7.
c, √𝑣 2 + 2𝑔ℎ
d. v
e. v + √2𝑔ℎ
Which is the following quantities is not a vector?
a. magnetic field
b. electric force
c. electric current
d. electric field
8.
b. v√2𝑔ℎ
e. electric potential
While rising vertically at 10 m/c, a helicopter passenger falls out the door. Fortunately, he has a rope tied to his
harness so he can be retrieved. After 2 seconds, how much rope has been pulled out of the helicopter?
a. 1 m
b. 2 m
c. 10 m
d. 20 m
e. 30 m
9.
The drawing shows the path of a projectile that was launched at an angle from the ground. At which points
would you find an acceleration of zero, a maximum speed, and maximum height?
10. A runner runs the first half of a 10 km race at a steady speed of 5 m/s. Due to fatigue, she slows her pace to a
constant 4 m/s for the second half. What is her average speed for the race?
a. 3.5 m/s
b. 4.4 m/s
c. 4.5 m/s
d. 5.0 m/s
e. 5.5 m/s
11. On a displacement time graph, a horizontal straight line corresponds to motion at:
a. Zero speed
b. constant, nonzero speed
c. increasing speed
d. decreasing speed
e. decreasing acceleration
12. Ball A is thrown horizontally and ball B is dropped vertically from the same height at the same moment. Which
of the following is true?
a. Ball A reaches the ground first.
b. Ball B reaches the ground first.
c. Ball A has the greater speed when it reaches the ground.
d. Ball B has the greater speed when it reaches the ground.
e. Both balls have the same speed when they reach the ground.
13. An airplane is flying horizontally at an altitude of 490 meters when a wheel falls from it. If there were no air
resistance, the wheel would strike the ground in:
a. 10 sec
b. 30 sec
c. 50 sec
d. 80 sec
e. 100 sec
14. A stone is dropped from a cliff. After it has fallen 30 m, its speed is:
a. 17 m/s b. 24 m/s c. 44 m/s d. 74 m/s
e. 588 m/s
15. During which labeled segment on the graph is the
Object not moving at all?
a. A
b. B
c. C
d. D
e. There is no section where the object is at rest.
16. During which labeled segment on the graph is the
Object undergoing the largest magnitude of
acceleration?
a. A
b. B
c. C
d. D
e. There is no section where the object is accelerating
17. During which labeled segment on the graph is the object moving but not accelerating?
a. A
b. B
c. C
d. D
e. The object is accelerating in more than one section.
18. If the velocity is measured in meters per second, at what time does the object have a speed of 4 m/s?
a. 1 sec
b. 4 sec
c. 5 sec
d. 3 sec and 10 sec
e. 8 sec
19. How far had the object traveled after the first 5 seconds?
a. 5 m
b. 6.5 m c. 19.5 m
d. 22.5 m
e. 24 m
20. If the graph below is a position vs. time graph, it could represent:
a. Motion at constant velocity
b. Motion with increasing velocity
c. Motion with increasing acceleration
d. Motion with decreasing acceleration
e. No motion at all
21. A vector is given by its components, Ax = 2.5 and Ay= 7.5. What angle does vector A make with the positive xaxis?
a. 72˚
b. 18˚
c. 25˚
d. 50˚
e. 75˚
22. Which pair of vectors could produce a resultant of 35?
a. 15 and 15
b. 20 and 20
c. 30 and 70
d. 20 and 60
e. 20 and 70
23. A vector has a magnitude of 17 units and makes an angle of 20˚ with the positive x-axis. The magnitude of the
horizontal component of this vector is
a. 16 units
b. 4.1 units
c. 5.8 units
d. 50 units
e. 12 units
24. As the angle between a given vector and the horizontal axis increases from 0 to 90 degrees, the magnitude of
the vertical component of this vector
a. decreases
b. increases and then decreases
c. decreases and then increases
d. increases
e. remains the same
25. Vector A has a magnitude of 10 units and makes an angle of 30˚ with the horizontal x-axis. Vector B has a
magnitude of 25 units and makes an angle of 50˚ with the negative x-axis. What is the magnitude of the
resultant between these two vectors?
a. 20
b. 35
c. 15
d. 45
e. 25
26. Two concurrent vectors have magnitudes of 3 units and 8 units. The difference between these vectors is 8
units. The angle between these two vectors is
a. 34˚
b. 56˚
c. 79˚
d. 113˚
e. 127˚
27. Which of the following sets of displacements have equal resultants when performed in the order given?
i. 6 m east, 9 m north, 12 m west
ii. 6 m north, 9 m west, 12 m east
iii. 6 m east, 12 m west, 9 m north
iv. 9 m north, 6 m east, 12 m west
a. I and IV
b. I and II
c. I, III, and IV
d. I, II, and IV
e. II and IV
28. Which vector represents the direction of the two concurrent vectors shown below?
29. Three forces act concurrently on a point P as shown below. Which vector represents the direction of the
resultant force on point P?
30. On a baseball field, first base is about 30 m away from home plate. A batter gets a hit and runs toward first
base. She runs 3 m past the base and then runs back to stand on it. The magnitude of her final displacement
from home plate is
a. 27 m
b. 30 m
c. 33 m
d. 36 m
e. 40 m