In the figure, a frictionless roller coaster car of mass
*m* = 644 kg tops the first hill with speed
*v*_{0} = 14.6 m/s at height *h* = 44.5 m.
How much work does the gravitational force do on the car from that
point to **(a)** point *A*,
**(b)** point *B*, and **(c)**
point *C*? If the gravitational potential energy of the
car-Earth system is taken to be zero at *C*, what is its
value when the car is at **(d)** *B* and
**(e)** *A*?

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