Problem III: Projectile Motion and Velocity
John Greavu
February 13, 2013
Physics 1301W, Professor: Evan Frodermann, TA: Mark Pepin
Introduction
"A toy company has hired you to produce an instructional videotape for would-be jugglers. To plan the videotape, you decide to separately determine how the horizontal and vertical components of a ball’s velocity change as it flies through the air. To catch the ball, a juggler must be able to predict its position, so you decide to calculate functions to represent the horizontal and vertical positions of a ball after it is tossed. To check your analysis, you decide to analyze a video of a ball thrown in a manner appropriate to juggling”.
This problem called for determining whether or not the horizontal and vertical velocity components change or remain constant during a juggled balls flight.
Prediction f(x) = 1.33
f(x) = -2.25 + 9.81(x)
f(x) = 0.75(x)
f(x) = -3.2(x) + 4.9(x2)
From analyzing these graphs, the horizontal component of the object’s velocity should remain constant while the vertical component does not.