The drive$-$train of a $1600$ kg car produces a forward force of $5300$ N as it accelerates from $0$ to $60\mathrm{.}0$ mph in $10\mathrm{.}\mathrm{0\; seconds.}$

$($a$)$ If this acceleration covers a distance of $125$ m$,$ determine the power output of the cars engine.

 

(b) Find the average frictional force opposing the forward motion of the car.