User's Manual

012-05479B Mini Launcher
35
®
Experiment 10 (Demo): Shooting Through Hoops
EQUIPMENT NEEDED
– Mini Launcher and steel ball – (5) Ring clamps on stands
– (2) Photogates Photogate Bracket
– Meter stick – (2) Meter stick
– (optional) Computer with Timing software
Purpose
The purpose of this demonstration is to show that the path of a ball launched horizontally from a table is
parabolic.
Theory
The range is the horizontal distance, x, between the muzzle of the Launcher and the place where the ball
hits, given by
where v
0
is the initial speed of the ball as it leaves the muzzle and t is the time of flight.
The vertical position, y, of the ball at time t is given by
where y
0
is the initial height of the ball and g is the acceleration due to gravity.
Setup
Before the demonstration begins, find the initial velocity for the range setting to be used. Attach the
photogates and use a computer to find the initial velocity or shoot the ball horizontally and measure x
and y to find the initial velocity. See experiments 1 and 2.
To prepare the demonstration, clamp the Mini Launcher to the table with the Launcher aimed away from
the table so the ball will land on the floor.
Adjust the angle of the Launcher to zero degrees so it will shoot horizontally.
Procedure
In front of the class, measure the initial height of the ball at muzzle level.
Calculate the horizontal and vertical positions of the ball each 1/10 second until it hits the floor.
0.1
0.2
0.3
0.4
0.5
t (sec)
x = v
0
t (cm)
y = y
0
- (
1
/2)gt
2
(cm)
x = v
0
t
y
=
y
0
-
1
2
gt
2