Motion in One Dimension

Abstract

This chapter introduces kinematics through an exposition that combines analytical and numerical mathematical techniques. The description of motion, including aspects such as velocity and acceleration, is explained starting from a numerical example—Usain Bolt’s race in the Beijing Olympics in 2008. Then we introduce the basic methods to determine the motion of an object given its acceleration—through analytical integration, the solution of differential equations analytically and numerically. Worked examples combining numerical and analytical exposition as well as realistic data, introduces the student to robust problem-solving methods. Problems and projects that combine analytical and numerical methods are provided.