The Role of Mathematics in Motion: An Analysis of Speed and Distance
Keywords:
Motion analysis, velocity calculations, distance equations, kinematics, mathematical modelingAbstract
Mathematics permeates almost every aspect of our daily lives. It is fundamental to our understanding of the motion of humans and the earth around us. This paper aims to evaluate the motion from various points of view through basic mathematical concepts such as speed, time, and distance. It starts with introducing and comparing the average speed with instantaneous speed, gives some equations that relate distance to time, and supports that with analysis of practical examples of vehicles motion, pedestrians' motion, and freely falling objects motion to ensure the veracity of these equations. Moreover, it discusses the significance of viewing motion as a change with graphical representations in a way that enhances readers' understanding of mathematical relationships. It also aims to enhance our mathematical thinking in the study of motion and show how to utilize mathematics to promote our vigour in explaining the natural world and the human mutual action.
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