Projectile Motion
Objective:
The purpose of this experiment was to study projectile motion by the analysis of a digital home video of a projectile in motion. We are able to use video analysis techniques to obtain position, velocity, and time data for a projectile. The second purpose is to be able to analyze the position vs. time and velocity vs. time graphs for both the horizontal and vertical components of the projectile’s motion in the video. Then determine the best fit equations for the position vs. time and velocity vs. time graphs for both the horizontal and vertical components of the projectile’s motion. While relate the parameters in the best-fit equations for position vs. time and velocity vs. time graphs to their physical counterparts in the system. This experiment helps us relate the horizontal and vertical components of the projectile’s motion to any forces acting on the object while it is moving.
Theory:
The motion where the only acceleration present is the constant downward acceleration due to gravity is projectile motion. In the horizontal direction, there is no component of acceleration, therefore the horizontal motion is at constant velocity.
vx = v0x
x = x0 + v0xt
The vertical motion has a constant downward acceleration g:
vy = v0y - gt
y = y0 + v0yt – 0.5gt2
Where g= 9.8 m/s2 on Earth.
Procedure:
Start Logger Pro using the file provided to you, ProjectileMotion.cmbl. Choose Movie from the “Open” menu. Insert the Basketball Shot movie from the Sample Movies folder in Logger Pro or the Projectile Movie that you make in class. Then enable Video Analysis by clicking on the button in the lower-right corner. This brings up a toolbar with a number of buttons. Click the Set Origin button, then click in the movie frame to set the location of the origin. If needed, this coordinate system can be rotated by dragging the yellow dot on the horizontal axis. Click the Set Scale button, then drag across an object of known length in...