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

Peter Chudinov

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arXiv · 2108.03469

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

Peter Chudinov

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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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Peter Chudinov. 2021-08-07. Some problems of the projectile motion with a square-law resistance. https://arxiv.org/abs/2108.03469

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