On the problem of projectile motion in a medium with quadratic resistance

2022/05/03 by Peter Chudinov, Chudinov, Peter
Economics, Econometrics and Finance · Engineering · Medicine · #Classical Physics (physics.class-ph) #FOS: Physical sciences #Sports Analytics and Performance #Sports Dynamics and Biomechanics #Sports Performance and Training

paper · pdf · doi:10.48550/arxiv.2205.01564

openalex publication_date 2022/05/03 · openalex created_date 2022/05/08 · openalex updated_date 2026/07/28

Abstract

A classic problem of the motion of a projectile thrown at an angle to the horizon in a medium with a quadratic resistance law is studied. An approximate analytical solution of the equations of projectile motion is presented, which has a high accuracy. The proposed formulas are universal, that is, they can be used for any initial conditions of throwing over a wide range of the change of medium resistance coefficient. The motion of a shuttlecock of badminton, bullet, table tennis ball and volleyball are presented as examples.

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