a$)$ How high a hill can a car coast up $($engine disengaged$)$ if work done by friction is negligible and its initial speed is $182$km$/$h$?$ mb$)$ If$,$ in actuality, a $963$kg car with an initial speed of $182$km$/$h is observed to coast up a hill to a height $40\mathrm{.}7$m above its starting point, how much thermal energy was generated by friction? Jc$)$ What is the average force of friction if the hill has a slope $2\mathrm{.}00$ above the horizontal?