How long will it take an $850-$kg car with a useful power output of $40\mathrm{.}0$ hp $(1$ hp $=746$ W$)$ to reach a speed of $15\mathrm{.}0$ m$/$s$,$ neglecting friction? $($b$)$ How long will this acceleration take if the car also climbs a $3\mathrm{.}00-$m$-$high hill in the process?$($ How long will it take the car to reach $15$ m$/$s and climb $3$ meters$)$