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Tarzan's speed just before he reaches Jane.

7-10: Tarzan, in one tree, sights Jane in another tree. He grabs the end of a vine of length 20m that makes an angle of 45Degree with the vertical, steps off his tree limb, and swings down and then up to Jane's open arms. When he arrives, his vine makes an angle of 30 degree with the vertical. Determine whether he gives her a tender embrace or knocks her off her limb by calculating Tarzan's speed just before he reaches Jane. Ignore air resistance and the mass of the vine.

Solution Preview

Given:
L = 20 m is the length of the vine
A_1 = 45° is the angle of the vine with the vertical at the start
A_2 = 30° is the angle of the vine with the vertical at Jane

The difference in height between the start and Jane is H = ...

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