Calculus: Early Transcendentals (2nd Edition)

Published by Pearson
ISBN 10: 0321947347
ISBN 13: 978-0-32194-734-5

Chapter 3 - Derivatives - 3.6 Derivatives as Rates of Change - 3.6 Exercises - Page 180: 4

Answer

The difference between speed and velocity is that speed only accounts for how fast you are going. Velocity will account for the speed and direction. In calculus, speed is used when we want to focus on the magnitude of the velocity. We measure speed as the absolute value of the velocity.

Work Step by Step

Velocity: $v=ds/dt=f'(t)$ Speed: $|v|=|f'(t)|$
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