Objectives: The purpose of this experiment is to examine the projectile motion of a ball launched horizontally. The initial velocity will be calculated. The range of the ball will be measured.
Theory: Horizontal launch of the ball allows computing the initial velocity v0 by measuring the height of the launch and the distance traveled by the ball: h=, s=v0 ∙ t
Solving these parametric equations for v0 gives us:
0=s
Where h and s are defined from the experiment
Equipment:
*projectile launcher and plastic ball
*carbon paper
*white paper
*meter stick
*tape
*stand with a clamp
Procedures:
1. We set up the projectile horizontal position.
2. We measured for the height at which the ball will be launched. h=0.310m
3. We put the plastic ball into the projectile launcher and charged it for the short range launch.
4. We made a test shot to determine the position of a sheet of white paper covered with a carbon paper.
5. We taped the sheet of white paper to the area of a ball landing.
6. We made five shots of the ball.
7. We measured the distance (range) of the ball motion on each trial, and the height it was launched from.
8. We calculated the initial velocity v0 for each trial.
All the obtained data has been recorded in the Table below.
Height, h (m)
Distance, s (m)
Velocity, 0 ()
Average Velocity, vav
()
2.90
0.310
0.697
2.77
0.732
2.91
0.733
2.92
0.741
2.95
0.744
2.96
Calculations:
Calculation of Velocity: 0=s v01= s v01=0.697m=2.772m v02=0.732m=2.912m v03=0.733m=2.916m v04=0.741m=2.947m v05=0.744m=2.959m Calculation of Average Velocity: vav=(v01+v02+v03+v04+v05) vav==2.901 Conclusion: We examined the projectile motion of a ball launched horizontally. We found the range of motion was between 0.697m-0.744m. We calculated the average initial velocity and found it to be vav=2.90