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## Homework Statement

Consider a simple frictionless roller coaster. It begins from rest at x = 0 at a height of y = H. Then it drops into a dip, reaching a minimum at x = 100, with zero height (y = 0). Finally, it goes back up and reaches the crest of a small hill of height y = H/2 at x = 200. What can you say about the kinetic energy and gravitational potential energy of the roller coaster during its trip? Assume that the zero level of potential energy is taken to be y = 0.

x = 0

**x = 100**x = 200 this is where the gravitational PE equals the kinetic energy

x = 0

**x = 100**x = 200 this is where the kinetic energy equals the TOTAL energy

**x = 0**x = 100 x = 200 this is where the gravitational PE is a maximum

**x = 0**x = 100 x = 200 this is where the kinetic energy is a minimum

x = 0

**x = 100**x = 200 this is where the kinetic energy is a maximum

x = 0

**x = 100**x = 200 this is where the gravitational PE is a minimum

My answers are in bold, unfortunetly the program doesnt tell me which ones i got wrong, only that i got the problem wrong, i feel im close to the answer but dont know which one is wrong.

Thanks