2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/107920Optimum projection angles for achieving maximum horizontal range in throwing and jumping events are considerably less than 45 degrees. This unexpected result arise because an athlete can generate a greater projection velocity at low projection angles than at high angles. The range of a projectile is strongly dependent on projection speed and so the optimum projection angle is biased towards low projection angles. Here we examine the velocity-angle relation and the optimum projection angle in selected throwing and jumping events.Submitted to American Journal of Physics. 6 pages, 11 FiguresPhysics EducationGeneral Physicstext