A 330 kg motorcycle includes two wheels, each of which is 48 cm in diameter and has rotational inertia 2.5 kg⋅m2 . The cycle and its 61 kg rider are coasting at 90 km/h on a flat road when they encounter a hill. If the cycle rolls up the hill with no applied power and no significant internal friction, what vertical height will it reach?

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A 330 kg motorcycle includes two wheels, each of which is 48 cm in diameter and has rotational inertia 2.5 kg⋅m2 . The cycle and its 61 kg rider are coasting at 90 km/h on a flat road when they encounter a hill. If the cycle rolls up the hill with no applied power and no significant internal friction, what vertical height will it reach?

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