Name___________________________________________Date______________________Period_____
GPHS AP Physics
Unit 1 Test, Translational and Rotational Kinematics
Multiple Choice – Select the best answer from the choices below. Let g  10 m
.
s2
1. A firework is shot straight up in the air with an initial speed of 50 m/s. How long
will it take to land?
a. 1 s
b. 3 s
c. 5 s
d. 10 s
e. 12 s
2. Boo-Boo the astronaut hits a golf ball on the newly discovered planet Taco,
𝑚
which happens to be very flat. The ball launches with 𝑣⃑ = (25 𝑠 , 53°) and
lands 150 m down range. The acceleration on the planet is most nearly
a. 10 m/s2
b. 8 m/s2
c. 6 m/s2
d. 4 m/s2
e. 2 m/s2
3. A projectile is launched with an initial velocity of 50 m/s at an angle of 53. The
range of the projectile is
a. 60 m
b. 120 m
c. 180 m
d. 240 m
e. 960 m
4. A ball rolls off the end of a horizontal table leaving the table’s edge with a
velocity v, landing a distance d from the edge of the table of height h. The speed
of the ball as it rolled off the table is given by
a.
𝑑𝑔
2ℎ
2ℎ
b. 𝑑√ 𝑔
𝑔
c. 𝑑√2ℎ
d. 2𝑑𝑔ℎ
e. √2𝑑𝑔ℎ
Name___________________________________________Date______________________Period_____
Use this information for questions 5 and 6: A ball is launched at ground level. The
speed of the ball as a function of time is shown in the figure below where t=0 at the
instant the ball is launched.
100
s(m/s)
90
80
70
0
2
4
6
8
10
12 t (s)
5. How far does the ball travel horizontally before returning to ground level?
a.
b.
c.
d.
e.
960m
480m
360m
300m
240m
6. What is the maximum height above ground level attained by the ball?
a.
b.
c.
d.
e.
600m
480m
320m
240m
180m
7. A ball is dropped from a very high cliff. After one second, it has fallen a distance
D and is traveling with speed V. Four seconds after being dropped, its distance
and speed, respectively, are
a.
b.
c.
d.
e.
2D, V
4D, 4V
4D, 16V
16D, 4V
16D, 16V
Name___________________________________________Date______________________Period_____
8. A boy sits at the edge of a rotating merry-go-round of diameter 2 m. Initially at
rest, he experiences a constant angular acceleration of 1 rad/s/s. During this
period, his tangential acceleration is _____ and his centritpetal acceleration is
_____.
a. Increases, Increases
b. Increases, remains constant
c. Remains constant, Remains constant
d. Remains constant, Increases
e. Decreases, Increases
Use this information for questions 8-10: The position of a 1m diameter rotating
flywheel is modeled by the equation 𝜃(𝑡) = −2𝑡 2 + 14𝑡 − 20. (Sketching the graph
will be very helpful if your remember how to interpret velocity and acceleration from a
position graph)
9. The angular velocity of the flywheel is …
a.
b.
c.
d.
e.
Increasing on the interval (−∞, 2)
Increasing on the interval (−∞, 3.5)
Increasing on the interval (2, 3.5)
Increasing for all values of t
Decreasing for all values of t
10. The flywheel is stopped when
a.
b.
c.
d.
e.
t=0
t=2.0 s
t=3.5 s
t=5.0 s
t=2.0 s and 5.0 s
11. At t=5 s, the linear velocity, in m/s, of a point on the outer edge of the flywheel is
a. 6 î
b. -6 î
c. 3 î
d. -3 î
e. -3 ĵ
Name___________________________________________Date______________________Period_____
12. A Farris wheel of radius 8m is moving with constant angular velocity 0.2π radians
per second. If a carnival-goer releases a waterballon at the highest point in his
rotation (essentially 1 diameter above ground) how far from the point on the
ground directly below the release point does the ball land?
a. 0
b. 8.0 m
c. 16 m
d. 1.0 m
e. 9.0 m
13. A boat is able to move through still water at a steady rate of 20 m/s. Town is 3
km from the boat dock. If the river flows at a steady rate of 5 m/s, how long will
a round trip to town and back take? (neglect any time required to accelerate up
to or down from top speed)
a. 120 s
b. 200 s
c. 320 s
d. 150 s
e. 300 s
14. An object slides off a roof 10 meters above the ground with an initial horizontal
speed of 5 meters per second as shown above. The time between the object's
leaving the roof and hitting the ground is most nearly
(A) 1 s
2
(C) 2 s
(E) 5 2 s
(B) 1 s
2
(D) 2 s
15. A particle of mass m moves along a straight path with a speed v defined by the
function v = bt2 + c, where b and c are constants and t is time. What is the
magnitude F of the net force on the particle at time t = t1 ?
(A) bt1 2 + c
(C) mbt1
(E) 2mbt1
(B) 3mbt1 + 2c
(D) mbt1 + c
16. Vectors V1, and V2 shown above have equal
magnitudes. The vectors represent the
velocities of an object at times t1, and t2,
respectively. The average acceleration of
the object between time t1 and t2 was
(A) zero
(C) directed west
(E) directed north of west
(B) directed north
(D) directed north of east
Name___________________________________________Date______________________Period_____
17. At a particular instant, a stationary observer on the ground sees a package falling
with speed v1 at an angle to the vertical. To a pilot flying horizontally at constant
speed relative to the ground, the package appears to be falling vertically with a
speed v2 at that instant. What is the speed of the pilot relative to the ground?
(A) v1 + v2
(B) v1 - v2
(C) v2-v1
(D) v 1 2  v 2 2
(E) v 1 2  v 2 2
18. An object is shot vertically upward into the air with a positive initial velocity. Which
of the following correctly describes the velocity and acceleration of the object at its
maximum elevation?
Velocity
(A) Positive
(B) Zero
(C) Negative
(D) Zero
(E) Positive
Acceleration
Positive
Zero
Negative
Negative
Negative
19. The graph above shows velocity v versus time t for an object in linear motion. Which
of the following is a possible graph of position x versus time t for this object?
Name___________________________________________Date______________________Period_____
20. An object is dropped from rest from the top of a 400 m cliff on Earth. If air resistance is
negligible, what is the distance the object travels during the first 6 s of its fall?
(A) 30 m
(C) 120 m
(E) 360 m
(B) 60 m
(D) 180 m
Questions 21-22
Starting from rest, a vehicle accelerates on a straight level road at the rate of 4.0 m/s 2 for
5.0 s.
21. What is the speed of the vehicle at the end of this time interval?
(A) 1.3 m/s
(C) 20 m/s
(E) 100 m/s
22.
(A)
(C)
(E)
(B) 10 m/s
(D) 80 m/s
What is the total distance the vehicle travels during this time interval?
10 m (B)
20 m
25 m (D)
40 m
50 m
23. If air resistance is negligible, the speed of a 2 kg sphere that falls from rest through a
vertical displacement of 0.2 m is most nearly
(A) 1 m/s
(C) 3 m/s
(E) 5 m/s
(B) 2m/s
(D) 4 m/s
Name___________________________________________Date______________________Period_____
A ball of mass M is thrown vertically upward with an initial speed of vo. It experiences a
force of air resistance given by F = -kv, where k is a positive constant. The positive
direction for all vector quantities is upward. Express all algebraic answers in terms of
M, k, vo, and fundamental constants.
a. Does the magnitude of the acceleration of the ball increase, decrease, or remain the
same as the ball moves upward?
increases
decreases
remains the same
Justify your answer.
b. Determine the terminal speed of the ball as it moves downward.
c. Does it take longer for the ball to rise to its maximum height or to fall from its
maximum height back to the height from which it was thrown?
longer to rise
longer to fall
Justify your answer.
d. On the axes given, sketch a graph
of velocity versus time for the
upward and downward parts of
the ball's flight, where tf is the
time at which the ball returns to
the height from which it was
thrown.
Name___________________________________________Date______________________Period_____
(15 points) At time t=0 a carnival merry-go-round rotates about the origin at a constant
rate. A man standing at the edge of the ride moves at with a velocity v=(3.67m/s) î
would experience a centripetal acceleration of (-2.85 m/s2) ĵ.
a. Sketch this motion. Draw and label vector arrows indicating the direction of
i. His velocity
ii. His centripetal acceleration
b. In unit vector notation, what is the vector r that locates the man relative to
the axis of rotation?
c. If the ride comes steadily to a stop in 2.5 seconds, through what angular
displacement would the ride turn while stopping?