Projectile motion: the "coming and going" phenomenon

TL;DR

This paper investigates the 'coming and going' phenomenon in projectile motion with linear air resistance, analyzing how critical angles and geometrical properties vary with air resistance through approximate and numerical methods.

Contribution

It introduces a detailed analysis of the 'coming and going' phenomenon considering linear air resistance, highlighting how key projectile properties change with resistance coefficients.

Findings

Critical angle varies with air resistance coefficient.

Geometrical properties of projectiles are affected by linear air resistance.

Approximate and numerical analyses reveal the phenomenon's sensitivity to air resistance.

Abstract

An interesting phenomenon that occurs in projectile motion, the "coming and going", is analyzed considering linear air resistance force. By performing both approximate and numerical analysis, it is showed how a determined critical angle and an interesting geometrical property of projectiles can change due to variation on the linear air resistance coefficient.