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Determinants of Shot Put Performance: A Mathematical Approach

Author : Dr. Deepak Kumar Singh

Abstract :

Shot put is an athletic field event in which the distance of the throw depends on several physical and biomechanical factors. This study presents a mathematical analysis of shot put performance by applying the principles of projectile motion and mechanics. Important parameters such as the angle of release, initial velocity, height of release, and gravitational acceleration are considered to understand their influence on the range of the shot. Mathematical models are used to derive equations describing the trajectory of the shot and to determine the conditions for maximum distance. The analysis shows that optimal performance depends not only on the theoretical projection angle but also on the athlete’s ability to generate maximum velocity and maintain proper technique. The study highlights how mathematical modeling can help in understanding shot put mechanics and can assist athletes and coaches in improving performance through scientific training methods.

Keywords :

Shot Put, Projectile Motion, Mathematical Modeling, Angle of Release, Initial Velocity, Trajectory Analysis, Biomechanics, Athletic Performance.