Chapter 5.7, Problem 12ES

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) $\upsilon \left(t\right)=t-\sqrt{t};0\le t\le 4$

(b) $\upsilon \left(t\right)=\frac{1}{\sqrt{t+1}};0\le t\le 3$