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A small lead ball, attached to a 1.6-m rope, is being whirled in a circle that lies in the vertical plane. The ball is whirled at a constant rate of four revolutions per second and is released on the upward part of the circular motion when it is 1.6 m above the ground. The ball travels straight upward. In the absence of air resistance, to what maximum height above the ground does the ball rise?

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