A roller coaster car rolls down a frictionless track, reaching speed ν at the bottom.a. If you want the car to go twice as fast at the bottom, by what factor must you increase the height of the track?b. Does your answer to part a depend on whether the track is straight or not? Explain.

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A roller coaster car rolls down a frictionless track, reaching speed ν at the bottom.
a. If you want the car to go twice as fast at the bottom, by what factor must you increase the height of the track?
b. Does your answer to part a depend on whether the track is straight or not? Explain.

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