Abstract

This chapter discusses curves in the plane. It presents some situations in which, given a real number t, two numbers x and y may be determined from some parametric equations. This could be viewed as a description of a single function that takes real numbers t as raw material and produces points in the plane as a finished product. The function R is called, if R accepts all t in some given interval [a, b]. Motion at a constant speed along a circular path illustrates the situation in which all acceleration takes the form of normal acceleration. Motion along a straight line illustrates the situation in which all the acceleration is tangential. Typically, the acceleration of a particle moving in the plane will be a combination of normal and tangential acceleration.

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