Chapter 5.7, Problem 13ES

A particle moves with acceleration $a\left(t\right){\text{m/s}}^2$ 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.

$a\left(t\right)=3;{\upsilon }_0=-1;0\le t\le 2$