Projectile Motion Worksheet 1

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Projectile Motion Worksheet 1
For each problem, list what you need to know and what you are given. Next, choose
the appropriate kinematic equation, solve it algebraically, and only then substitute
numbers!
1. A body falls freely from rest. Find:
a. its displacement at t  3.0 s
c. the time required for it to fall 300. m
b. the time for it to reach a speed of 25 m
s
d. its speed after falling 70. m
2. A ball is dropped from rest at a height of 80. m above the ground.
a. What is its speed just as it hits the
b. How long does it take for it to reach the
ground?
ground?
Projectile Motion Worksheet 1
page 2
3. A marble dropped from a bridge strikes the water in 6.0 s . Calculate:
a. the speed with which it strikes the
b. the height of the bridge.
water.

Free Fall with v o  0
4. A body is thrown downward with an initial speed of 20. m .
s
a. Draw a force
b. What is its acceleration c. What is its displacement
diagram of the body
after it is thrown?
after 4.0 s ?
after it is thrown.
Explain.
c. What time is required for it to reach
a speed of 50. m ?
s
d. What is its speed after falling 100. m ?
5. A student throws his worthless lab partner off a 120. m high bridge with an initial
downward speed of 10. m .
s
a. How fast is he going at the moment
b. How long does it take the deadbeat to hit
of impact?
the ground below? (Use the answer to a.)
Projectile Motion Worksheet 1
page 3
6. When a kid drops a rock off the edge of a cliff, it takes 4.0 s to reach the ground below.
When he throws the rock down, it strikes the ground in 3.0 s .
a. How tall is the cliff?
b. What initial speed did he give the rock?
7. A ball is thrown vertically upward from the ground with an initial speed of 15 m .
s
a. Draw a force
b. What is the acceleration c. Describe the velocity of
diagram of the ball
of the ball on its way
the ball on its way up.
on its way up.
up? How do you know?
d. Draw a force diagram of the ball at
its maximum height.
e. What is the ball’s velocity and its
acceleration at its maximum height?
f. What is its maximum height?
g. How long does it take the ball to reach
its maximum height?
Projectile Motion Worksheet 1
page 4
8. A baseball is thrown straight up with an initial velocity of 20. m .
s
a. Using the vertical position reference line to the right, draw a motion
map for the ball from just after you release it to just before you
catch it at the same height. Use position dots, velocity arrows and
acceleration arrows. Make sure one of the position dots is at the
maximum height so that symmetry can be used.
b. What is the total
displacement of the ball
from just after you release it
to just before you catch it?
c. Using the answer from (b) and other
givens, calculate the total time of
flight of the ball from just after you
release it to just before you catch it.
d. What is the final velocity of the ball
just before you catch it? How does
the final velocity of the ball just
before you catch it compare to the
initial velocity of the ball just after
you release it?
e. Using the answer from (d)
and other givens,
calculate the total time of
flight of the ball from just
after you release it to just
before you catch it.

y
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