A roller coaster car rolls down a frictionless track, Physics

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A roller coaster car rolls down a frictionless track

A roller coaster car rolls down a frictionless track, reaching a speed V0(Velocity original) at the bottom. If you want the car to go twice as fast at the bottom, by what factor must you increase the height of the track? If you could explain using equations to show your proof.

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Physics: A roller coaster car rolls down a frictionless track

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Physics: A roller coaster car rolls down a frictionless track

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