A roller coaster, with a mass of 200 kg, starts at a height of 125 m with some unknown velocity. It then drops to a height of 32 m, and then climbs up to a height of 175 m.
a. The roller coaster just barely makes it up to the top of the 175 m high hill (i.e. v = 0 m/s),
what is the total energy of the roller coaster at the top of the 175 m high hill?
b. What is the total energy of the roller coaster when it starts from a height of 125 m?
c. What was the velocity of the roller coaster when it was at a height of 125 m?
d. What was the velocity of the roller coaster when it was at a height of 32 m?