Problem IV: Normal and Kinetic Frictional Force I
John Greavu
March 13, 2013
Physics 1301W, Professor: Evan Frodermann, TA: Mark Pepin
Abstract
The dependence of two-dimensional velocity and position components on time as well as whether or not said components are constant was determined. Video was recorded of a ball being projected laterally and data of its flight were plotted. From analyzing the data and the corresponding graphs that followed, it was shown that while the horizontal and vertical components of position, and the vertical component of velocity have slope and therefore, are not constant, the graph of horizontal velocity showed no slope. From this it was concluded that horizontal velocity of a projectile remains constant.
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 tested for whether or not the horizontal and vertical velocity and position components of a projectile remain constant with respect to time.
In order to create a “how-to” video for would-be jugglers, this problem called for a juggled ball’s path to broken down into components using kinematics. To determine the components of the ball’s velocity and their dependence–if any–on time, the launched ball’s independent horizontal and vertical velocity had to each be measured and analyzed. In order to help would-be jugglers be able to successfully predict a juggled ball’s path, the horizontal and vertical position components of the launched ball’s path–and