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Some problems of the projectile motion with a square-law resistance

2021/08/07 by Peter Chudinov, Chudinov, Peter
Physics and Astronomy · #Classical Physics (physics.class-ph) #FOS: Physical sciences #physics.class-ph

paper · pdf · doi:10.48550/arxiv.2108.03469

10 pages, 10 figures, 2 tables

arxiv created 2021/08/14 · arxiv updated 2021/08/17

Abstract

The influence of the force of the quadratic resistance of the medium on the change in some interesting characteristics of the motion of the projectile, which take place when the projectile moves in vacuum, is investigated. Loci that ensure maximization of the flight range, the arc length of the projectile trajectory and a non-decreasing of the length of the radius-vector are constructed numerically (and partly analytically). As examples, the motion of a baseball, a tennis ball and a badminton shuttlecock is studied.

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