A ball is rolling up a hill with a smooth surface initial, Physics

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A ball is rolling up a hill with a smooth surface initial

Question: A ball is rolling up a hill with a smooth surface. Initial kinetic energy of the ball is equal to its potential energy on the top of the hill.

Part A: Does it take finite or infinite time for the ball to reach the top?

Part B: How does the answer depend on the shape of the hill surface?

Please explain your answer. I know substitution is involved so be sure to give a detailed explanation on that as well.

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Physics: A ball is rolling up a hill with a smooth surface initial

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Physics: A ball is rolling up a hill with a smooth surface initial

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