The Magic Angles of Projectile Motion -- from Wolfram Library Archive

Title

The Magic Angles of Projectile Motion

Author

Haiduke Sarafian

Organization:

The Pennsylvania State University

Department:

Department of Physics

Journal / Anthology

Mathematica in Education and Research

Year:

2000

Volume:

Issue:

3-4

Page range:

20-26

Description

Mathematica is used to express the length of a projectile's trajectory in a vacuum as a function of the area it encompasses. The author shows that independent of kinematics, there is a unique pair of initial angles, 38.82º and 78.18º, resulting in two different parabolas identical in length and encompassing the same areas.

Subject

Science > Physics > Mechanics

Downloads

sarafianAngles.nb (454.2 KB) - Mathematica Notebook

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