Research on creating non-uniform motion animation using differential calculus and Python programming

Abstract

This study presents a method of applying differential calculus in mathematics combined with the Python programming language to create animations of non-uniform motion. The author then applied the method to three illustrative examples, including a free-falling object bouncing off the ground, the oscillation of a simple pendulum, and Velocity addition simulating dog chasing rabbit problem. The results show that using this method has many advantages, such as being able to perform on both computers, and mobile devices, and the parameters of the animation can be adjusted as desired. Furthermore, the method demonstrates an application of differential calculus in animation construction, as well as integrating a number of different subjects This method can also serve as a useful tool for teaching and research in the fields of natural sciences and technology today.