Problem $3$

A $1200$ kg car driving downhill goes a distance $d=90m,$ at angle $=20.$ The car accelerates from $v_i=11\frac{m}{s}$ at top of hill to $v_f=23\frac{m}{s}$ at bottom of hill.

a$.$ How much potential energy did the car lose?

b$.$ How much kinetic energy did it gain?

c$.$ How much energy is lost?

d$.$ Where did this energy go$?$