Name
Period
Date
Projectile Motion Worksheet 6
For your solutions to these problems, show the general mathematical relationships
you may use in your solutions in algebraic form (no numbers substituted, just variables)
before putting any numbers into them. Neglect any air resistance.
at an angle of 42 .
s
b. How fast is the ball travelling
horizontally after 1.5 s?
1. A soccerball is kicked from ground level at a speed of 20. m
a. Calculate the horizontal and
vertical components of the initial
velocity.
c. How far downfield
has the ball travelled
after 1.5 s?
d. What is the vertical
displacement over the
entire trip?
e. How long does it take to
hit the ground?
f. How far does it land
from where it was
kicked?
g. What is the ball’s
vertical velocity at its
maximum height?
h. What is its maximum
height?
Projectile Motion Worksheet 6
page 2
2. The crossbar of a football goalpost is about 3.5 m above the ground. A fieldgoal
kicker kicks a football with a speed of 20. m toward the goalpost at an angle of 36
s
above the horizontal. He is 32 m away from the goalpost.
a. Calculate the horizontal and
b. How long will it take the ball to reach
vertical components of the initial
the goalpost? (If it does.)
velocity.
c. Is the attempt good? If not, by how much does he miss? If so, by how much
does the football clear the crossbar?
3. Suppose a metal sphere leaves a ramp with vo  1.5 m
as
s
shown. The end of the ramp is 1.20 m above the floor.
a. Calculate the sphere’s time of flight. (You might need to
use the quadratic formula!)
vo
20.°
1.20 m
b. Calculate the range of the sphere.