CALCULUS Understanding Its Concepts and Methods

Velocity, Position function, Average velocity, Instantaneous velocity, Speed

The function
*s*(*t*)
that gives the position of a moving point at time
*t*
is called its position function.

The average velocity of the point between two
times
*a*
and
*b*
is

The (instantaneous) velocity of the point is the first derivative of its position function: The speed of the point is the absolute value of its velocity:

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Copyright © 2006 Darel Hardy, Fred Richman, Carol Walker, Robert Wisner. All rights reserved. Except upon the express prior permission in writing, from the authors, no part of this work may be reproduced, transcribed, stored electronically, or transmitted in any form by any method.