The long jump record revisited

Abstract

AbstractA mathematical model is presented in which the long Jump is treated as the motion of a projectile under gravity with slight drag. The first two terms of a perturbation solution are obtained and are shown to be more accurate than earlier approximate analytical solutions. Results from the perturbation analysis are just as accurate as results from various numerical schemes, and require far less computer time.The model is modified to include the observation that a long-jumper's centre of mass is forward of his feet at take-off and behind his feet on landing.The modified model is used to determine the take-off angle for the current world long jump record, resulting in several interesting observations for athletic coaches.