Thinking about Physics (as she usually does), Latasha does the following experiment. She gets her bike moving at 15.9 m/s as she approaches the paved hill at Flick Park. She quits pedaling and allows her 76.4-kg bike (her mass included) coast to a stop as it rises up the hill.

a. What is the kinetic energy of Latasha and her bike at the bottom of the hill?

b. Assuming negligible resistance forces, what potential energy will Latasha and her bike have when it finally stops?

c. To what height will Latasha and the bike rise before stopping?