An object moves with constant acceleration $4\mathrm{.}80$ m$/$s$2$ and over a time interval reaches a final velocity of $13\mathrm{.}0$ m$/$s$.$

$($a$)$ If its initial velocity is $6\mathrm{.}50$ m$/$s$,$what is its displacement during this interval?

$($b$)$ What is the total distance it travels during the interval in part $($a$)?$