Projectile Motion Calculator

About this calculator

This calculator applies the kinematic equations of projectile motion under constant gravity to find the maximum height, h = (v²·sin²θ)/(2g), and the horizontal range, R = (v²·sin2θ)/g, of an object launched at speed v and angle θ, ignoring air resistance. These equations come from decomposing the launch velocity into horizontal and vertical components and applying standard equations of motion to each independently.

Physics students use it to solve classic mechanics problems, ballistics analysts and military applications use the same equations for artillery trajectory estimates, and sports scientists analyze it for basketball shots, golf drives, and javelin throws where launch angle directly affects distance. Game developers modeling realistic projectile physics and hobbyists working with model rockets or trebuchets also reach for this calculator to predict how far and how high something will fly.