Problem 3.3 A guy dives from a cliff of height H at an initial speed 0...

 

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Problem 3.3 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 v,? Compute the total falling time. Problem 3.4 Consider shooting a bullet of mass m to three different big blocks. The resistance of the first block is assumed to be proportional to the bullet speed, that for the second block is proportional to vz, and that for the third block is proportional to v². If you fire at these blocks one by one with the same initial speed of vo for your bullets, compute the farthest the bullet can travel in each of these all three cases. Note that the gravitational force for this problem is negligible. Problem 3.3 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 v,? Compute the total falling time. Problem 3.4 Consider shooting a bullet of mass m to three different big blocks. The resistance of the first block is assumed to be proportional to the bullet speed, that for the second block is proportional to vz, and that for the third block is proportional to v². If you fire at these blocks one by one with the same initial speed of vo for your bullets, compute the farthest the bullet can travel in each of these all three cases. Note that the gravitational force for this problem is negligible.

Answer rating: 100% (QA)

Solution 33 34 Let H be the height and the initial ... View the full answer