Calculus, 10th Edition (Anton)

Published by Wiley
ISBN 10: 0-47064-772-8
ISBN 13: 978-0-47064-772-1

Chapter 2 - The Derivative - 2.1 Tangent Lines And Rates Of Change - Exercises Set 2.1 - Page 121: 21



Work Step by Step

Velocity is the change in displacement to the time taken ratio. In other words, velocity is the $rate$ of change of displacement with respect to time. $$\vec{v}=\lim\limits_{\Delta t \to 0}\frac{\Delta s}{\Delta t}=\frac{ds}{dt}$$, where $\Delta s$ represents change in displacement.
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