A battery$-$operated car utilizes a $12\mathrm{.}0$ V system. Find the charge $($in C$)$ the batteries must be able to move in order to accelerate the $780$ kg car from rest to $25\mathrm{.}0$ m$/$s$,$ make it climb a $2\mathrm{.}20$ x $10^2$ m high hill, and then cause it to travel at a constant $25\mathrm{.}0$ m$/$s by exerting a $4\mathrm{.}00$ x$10^2$ N force for an hour.