A ball is initially rolling along the ground with a linear speed of 4.75 meters per second (m/s). It then rolls up a hill. After the ball gets to the top of the hill, its linear speed is reduced to 2.05 m/s. The ball is a hollow sphere, with a moment of inertia given by I = 2MR²/3. Assume the total mechanical energy of the ball is conserved, and it rolls without slipping the whole time. What is the height of the hill, in meters? 2.05 m/s h = ? 4.75 m/s

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