Unit Exam 2: 2-D Kinematics
Name __________________________ Period _______
Questions 1-4:
A man on a motorcycle is initially at point A. At time t = 0, the man travels along the path shown to point B.
The amount of time required to complete each segment of the path is also indicated in the diagram. [Note:
The squares in the grid are 10 meters long.]
1)
What distance does the man travel in going from point A to point B?
A) 30 meters
B) 40 meters
C) 50 meters
D) 150 meters
2)
What is the magnitude of the man's displacement once he reaches point B?
A) 30 meters
B) 50 meters
C) 70 meters
D) 150 meters
3)
What is the man's average speed as he travels from point A to point B?
A) 2 m/s
B) 3 m/s
C) 6 m/s
D) 7 m/s
4)
What is the magnitude of the man's average velocity for this travel?
A) 2 m/s
B) 3 m/s
C) 6 m/s
D) 7 m/s
1
Unit Exam 2: 2-D Kinematics
Name __________________________ Period _______
Questions (5-6)
At the top of a building 5 meters high, a dense ball is shot horizontally such that its initial velocity is 20 m/s.
5)
How much time
ground?
A) 1 sec
B) 2 sec
C) 3 sec
D) 4 sec
elapses before the ball strikes the
6)
How far from the base of the building will the ball strike the ground?
A) 2 m
B) 4 m
C) 10 m
D) 20 m
Questions (7-8)
A projectile is launched over level ground so that its initial velocity has components (vx = 10 m/s, vy = 20
m/s). Ignore the effects of air resistance.
7)
How much time elapses before the projectile strikes the ground?
A) 1 sec
B) 2 sec
C) 4 sec
D) 8 sec
8)
How far from the launch point will the projectile strike the ground?
A) 10 m
B) 20 m
C) 40 m
D) 80 m
2
Unit Exam 2: 2-D Kinematics
9)
Name __________________________ Period _______
An object that is launched from the top of the tower is dense enough that air resistance can be
ignored. The object's initial velocity has components (vx = 30 m/s, vy = 20 m/s). What are the
components of the object's velocity 3 seconds after launch?
A) (vx = 0 m/s, vy = –10 m/s)
B) (vx = 0 m/s, vy = 20 m/s)
C) (vx = 30 m/s, vy = –10 m/s)
D) (vx = 30 m/s, vy = 50 m/s)
Questions 10-11:
A ball is launched from ground level with an initial velocity of 10 m/s directed 60° above the horizontal. The
ball travels with negligible air resistance over level ground.
10) How fast is the ball
highest point in its
A) 0.0 m/s
B) 5.0 m/s
C) 8.7 m/s
D) 9.8 m/s
moving when it reaches the
trajectory?
11) How fast is the ball moving just before striking the ground?
A) 0.0 m/s
B) 5.0 m/s
C) 8.7 m/s
D) 10.0 m/s
3
Unit Exam 2: 2-D Kinematics
Name __________________________ Period _______
12) Students are building a catapult with the goal of firing a projectile from ground level to ground level
so that the projectile travels 20 m horizontally and lands in the center of a target. The students
current design gives the projectile an initial horizontal velocity of v0x = 5 m/s and an initial vertical
velocity of v0y = 10 m/s, causing the projectile to travel horizontally 10 m while in the air for 2 seconds.
a) On the graph below, which line correctly represents the projectile’s horizontal velocity during the
two seconds that it travels? Choose A – G.
b) On the graph below, which line correctly represents the projectile’s vertical velocity during the two
seconds that it travels? Choose A – G.
4
Unit Exam 2: 2-D Kinematics
Name __________________________ Period _______
c) Use the graph of vertical velocity you drew above to calculate the maximum height reached by the
projectile. Clearly explain how you used the graph to calculate the maximum height.
_______________________________________________________________________________________
_______________________________________________________________________________________
_______________________________________________________________________________________
_______________________________________________________________________________________
_______________________________________________________________________________________
_______________________________________________________________________________________
_______________________________________________________________________________________
_______________________________________________________________________________________
_______________________________________________________________________________________
_______________________________________________________________________________________
_______________________________________________________________________________________
5
Unit Exam 2: 2-D Kinematics
Name __________________________ Period _______
Two
13) Identical spheres are released from a device at time t = 0 from the same height H, as shown above.
Sphere A has no initial velocity and falls straight down. Sphere B is given an initial horizontal velocity
of magnitude v0 and travels a horizontal distance D before it reaches the ground. The spheres reach
the ground at the same time tf, even though sphere B has more distance to cover before landing. Air
resistance is negligible.
a) On the graph below, which line correctly represents the horizontal component of the velocity of
sphere A? Choose A – E.
b) On the graph below, which line correctly represents the horizontal component of the velocity of
sphere B? Choose A – E.
6
Unit Exam 2: 2-D Kinematics
Name __________________________ Period _______
c) In a clear, coherent, paragraph-length response, explain why the spheres reach the ground at
the same time even though they travel different distances. Include references to your answers
to parts (a) and (b).
_______________________________________________________________________________________
_______________________________________________________________________________________
_______________________________________________________________________________________
_______________________________________________________________________________________
_______________________________________________________________________________________
_______________________________________________________________________________________
_______________________________________________________________________________________
_______________________________________________________________________________________
_______________________________________________________________________________________
_______________________________________________________________________________________
_______________________________________________________________________________________
_______________________________________________________________________________________
_______________________________________________________________________________________
_______________________________________________________________________________________
7