Kinematics

Abstract

What does a soaring cricket ball have to do with calculus? Everything! This project dives into the exciting mathematics behind projectile motion, using sports as a real-world playground. By applying differential calculus and analytical geometry, we derive velocity, acceleration, and position functions, and model the ball’s stunning parabolic trajectory on a coordinate system. We prove mathematically that 45° is the magic angle for maximum range Sand show how these same concepts power video game physics and robotics today. Kinematics is not just a chapter in a textbook it is the mathematics that moves the world!

Research Team