University Calculus: Early Transcendentals (3rd Edition)

Published by Pearson
ISBN 10: 0321999584
ISBN 13: 978-0-32199-958-0

Chapter 4 - Section 4.2 - The Mean Value Theorem - Exercises - Page 224: 52


See below.

Work Step by Step

Let us consider that $s(t)$ denotes the distance covered by the trucker at time $t$. Then, we have $s(0)=0$ and $s(2)=159$ Let us apply The Mean Value Theorem to find the velocity at time $t$ such that $|v(t)|=|s'(t)|=|\dfrac{f(b)-f(a)}{b-a}|=|\dfrac{s(2)-s(0)}{2-0}|=\dfrac{159}{2}=79.5$, which is greater than $65$
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