Finite Math and Applied Calculus (6th Edition)

Published by Brooks Cole
ISBN 10: 1133607705
ISBN 13: 978-1-13360-770-0

Chapter 12 - Section 12.3 - Higher Order Derivatives: Acceleration and Concavity - Exercises - Page 903: 55

Answer

$-3.8 \mathrm{m}/\mathrm{s}^{2}$

Work Step by Step

The acceleration of a moving object is the derivative of its velocity, that is, the second derivative of the position function. $v=\displaystyle \frac{ds}{dt},\qquad a=\frac{dv}{dt}$ $\displaystyle \frac{ds}{dt}=-3.8t$ $\displaystyle \frac{dv}{dt}=-3.8 \mathrm{m}/\mathrm{s}^{2}$
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