A box slides across a frictionless horizontal surface with constant acceleration $4\mathrm{.}85\frac{m}{s^2}$ and over a time interval reaches a final velocity of $12\mathrm{.}4\frac{m}{s}.$

$($a$)$ If its initial velocity is $6\mathrm{.}20\frac{m}{s},$ what is its displacement $($in $m)$ during the time interval? $($Indicate the direction with the sign of your answer.$)$

$m$

$($b$)$ What is the distance it travels $($in $m)$ during this interval?

m

$($c$)$ If its initial velocity is $-6\mathrm{.}20\frac{m}{s},$ what is its displacement $($in $m)$ during the time interval? $($Indicate the direction with the sign of your answer.$)$

$m$

$($d$)$ What is the total distance it travels $($in $m)$ during the interval in part $($c$)?$

Remember that displacement is a vector and distance is a scalar. If the displacement is negative, is the distance also negative? $m$