Chapter 5.7, Problem 9ES

A particle moves with a velocity of $\upsilon \left(t\right)\text{m/s}$ along an $s\text{-axis}$ . Find the displacement and the distance traveled by the particle during the given time interval.

(a) $\upsilon \left(t\right)=\sin t;0\le t\le \pi /2$

(b) $\upsilon \left(t\right)=\cos t;\pi /2\le t\le 2\pi$