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March 27, 2017

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A 48 g ball is released from rest at h = 1.4 m above the bottom of the track shown in the figure below. It rolls down a straight 30° segment, then back up a parabolic segment whose shape is given by y = 1/4 x2, where x and y are in m. How high will the ball go on the right before reversing direction and rolling back down? Neglect friction.

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