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PracticeTest1Solutions

PracticeTest1Solutions - c As the fisherman is floating...

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Practice Test 1 Solution Due: Wednesday, 27 May 2009 (It will count as the Lecture Quiz for the 27 th  )
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Practice Test Problem 1.2 You are standing on a bridge above a river. A fisherman is floating along is a  small boat at 1m/s. The fisherman is floating in a direction completely perpendicular to the length of the  bridge and will cross under the bridge directly below you. The fisherman dares you to drop (not throw) an  egg on his head. Assume the vertical distance from the fisherman’s head to your hand is 10m.  a) How long would it take for the egg to drop? b)  What is the  velocity  of the egg after the drop?
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Unformatted text preview: c) As the fisherman is floating toward you, how far away horizontally does the fisherman have to be when you release the egg to hit him on the head? Solution to Part (c) We know the time it takes for the egg to drop 10m is 1.4s (from part (a)), so we need to drop the egg 1.4s before the fisherman floats under the bridge. If the fisherman’s boat floats at 1m/s, then we can use: ∆ x = vi*t + ½*a*t^2. But a = 0, v = vi = 1m/s, and t = 1.4s, so ∆ x = 1m/s * 1.4s = 1.4m. So you drop the egg when the fisherman is horizontally 1.4m after from the bridge (and you)....
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