$(11$ Points$)$ The $2$ Mg car increases its speed uniformly from rest to $30$ m$/$s in $30$ s up the

inclined road. Determine the maximum power that must be supplied by the engine if the car's

power train operates with a mechanical efficiency of E $=0\mathrm{.}80.$ Also, find the average power

supplied by the engine if the car's power train operates with a mechanical efficiency of $=0\mathrm{.}80.$