A guy dives from a cliff of height H at an initial speed 0 (for simplicity). During the first phase of his fall, he wraps his arms. During the second phase, he stretches his arms to slow himself down so that his touchdown speed at the water surface is vo. The air drag coefficient during the first phase is k while it is ßk during the second phase. The air drag force is always proportional to the falling speed. At what height the guy should open his arms so that his touchdown speed is vo? Compute the total falling time.
A guy dives from a cliff of height H at an initial speed 0 (for simplicity). During the first phase of his fall, he wraps his arms. During the second phase, he stretches his arms to slow himself down so that his touchdown speed at the water surface is vo. The air drag coefficient during the first phase is k while it is ßk during the second phase. The air drag force is always proportional to the falling speed. At what height the guy should open his arms so that his touchdown speed is vo? Compute the total falling time.
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
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Chapter1: Units, Trigonometry. And Vectors
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Given that:
The height of the cliff is H
The initial speed is u= 0
Touchdown speed at the water surface is
The air drag coefficient during the first phase is
the air drag coefficient during the second phase is .
it is required to determine the height of the guy at which he should open his arms and the total falling time.
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