Open AccessSome problems of the projectile motion with a square-law resistance
Author(s) -
Peter Chudinov,
Vladimir Eltyshev,
Yuri Barykin
Publication year - 2021
Publication title -
revista mexicana de física e
Language(s) - English
Resource type - Journals
eISSN - 2683-2216
pISSN - 1870-3542
DOI - 10.31349/revmexfise.19.010201
Subject(s) - projectile motion , projectile , trajectory of a projectile , trajectory , quadratic equation , motion (physics) , radius , ball (mathematics) , square (algebra) , classical mechanics , physics , mathematics , mechanics , mathematical analysis , geometry , computer science , quantum mechanics , computer security
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 are constructed numerically (and partly analytically) that ensures maximization of the arc length of the projectile trajectory and a non-decreasing of the length of the radius-vector. As examples, the motion of a baseball, a tennis ball and a badminton shuttlecock is studied.