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

Answer

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 $65$
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.