The ebook Elementary Calculus is based on material originally written by H.J. Keisler. For more information please read the copyright pages.


Example 3

A particle moves so that at time t it has gone a distance s along a straight line, its velocity is v, and its acceleration is a. Show that

02_differentiation-438.gif

By definition we have

02_differentiation-439.gif

so by the Chain Rule,

02_differentiation-440.gif


Last Update: 2006-11-15