$($a$)$ How high $($in m $)$ a hill can a car coast up $($engine disengaged$)$ if friction is negligible and its initial speed is $96\mathrm{.}0k\frac{m}{h}?($Enter a number.$)$

m

$($b$)$ If$,$ in actuality, a $750$ kg car with an initial speed of $96\mathrm{.}0k\frac{m}{h}$ is observed to coast up a hill to a height $16\mathrm{.}0$ m above its starting point, how much thermal energy $($in J$)$ was generated by friction? $($

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$($c$)$ What is the average force of friction $($down the slope$)$ if the hill has a slope $2\mathrm{.}5$ above the horizontal? $($Enter your answer in N $.$ Enter a number. Enter the magnitude.$)$

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