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Volume 9, Issue 2


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The Second Set of Magic Angles of Projectile Motion
Haiduke Sarafian

By suppressing the kinematics of projectile motion, we show that a projectile thrown at 49.50° above the horizontal maximizes the trajectory's perimeter. We also identify two unique projectile angles, 15.5° and 88.9°, that give two different parabolas with identical perimeters and identical areas.




  *The Magic Angles of Projectile Motion



About the Author
Haiduke Sarafian is professor of physics at the York campus of the Commonwealth College of The Pennsylvania State University. He received his Ph.D. in theoretical nuclear physics from Michigan State University in 1983. He has also been a research associate at the National Superconducting Cyclotron Laboratory in Michigan and a visiting faculty member at Tokyo Metropolitan University in Japan and the University of Valencia in Spain. In 1999, he received a Mathematica Visiting Scholar Grant and is an independent Mathematica trainer (

Haiduke Sarafian
Commonwealth College
The Pennsylvania State University
Department of Physics
1031 Edgecomb Avenue
York, PA 17403

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