Chapter 5, Problem 76RE

A particle moves with acceleration $a\left(t\right){\text{m/s}}^{\text{2}}$ along an $s\text{-axis}$ and has velocity ${\upsilon }_0\text{ m/s}$ at time $t=0$ . Find the displacement and the distance traveled by the particle during the given time interval.

$a\left(t\right)=\frac{1}{\sqrt{5t+1}};{\upsilon }_0=2;0\le t\le 3$