Chapter 5, Problem 75RE

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.

$a\left(t\right)=-2;{\upsilon }_0=3;1\le t\le 4$