The Application of Calculus in Physics

Abstract

The derivative is a fundamental tool that quantifies the sensitivity of change for a function’s output with respect to its input. The derivative of a function for a single variable at a chosen input value is the slope of the tangent line to the graph of the function at that point. The application of calculus, including derivative and integral, is widely used in solving problems in the subject of Physics Kinematics. This paper uses derivative to calculate problems involving position, velocity, and acceleration, as well as using integral to solve problems about continuous forces and forces in spring. In calculus, the main idea of derivative is the segmentation process which will be carried on indefinitely and the local range is infinitely smaller. The main idea of integral is the sum of the results of all the infinite differential elements. These ideas can be used to simplify the kinematics question and accurate the final answers.