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The Magic Angles of Projectile Motion

Haiduke Sarafian
Organization: The Pennsylvania State University
Department: Department of Physics
Journal / Anthology

Mathematica in Education and Research
Year: 2000
Volume: 9
Issue: 3-4
Page range: 20-26

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, 38.82 and 78.18, resulting in two different parabolas identical in length and encompassing the same areas.

*Science > Physics > Mechanics
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sarafianAngles.nb (454.2 KB) - Mathematica Notebook