Calculus (3rd Edition)

Published by W. H. Freeman
ISBN 10: 1464125260
ISBN 13: 978-1-46412-526-3

Chapter 14 - Calculus of Vector-Valued Functions - 14.3 Arc Length and Speed - Preliminary Questions - Page 725: 4



Work Step by Step

Since $r(t)$ is an arc length parametrization, $r(t)$ is defined to have a constant speed of 1 unit of distance per unit of time. The total time elapsed in the interval $[4, 10]$ is $10-4=6$, so the length of the path is also $6$.
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