worksheet7 - falls down vertically and(iii the typical wind...

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MA 1002 Worksheet 7 Due Date: October 28, 2009 Print Name: Signature: ID #: Instructor/Section: Instructions: Explain each step using the conventions from class. Please mark solutions clearly. You will not receive full credit for a correct answer without explanation. 1. (100 points) Suppose you have to run 300m from Poly to the subway entrance through the rain (no umbrella). What is your optimal speed? (a) Find out from the Internet with which speed and angle a typical rain drop will hit you. For this, you will need (i) the typical radius of a rain drop (assume it is circular), (ii) the typical speed c that a rain drop of that radius has when it
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Unformatted text preview: falls down vertically, and (iii) the typical wind speed b in Brooklyn. (b) The rain falls vertically, but it is a±ected by the horizontal wind with speed b , so it acquires a resulting speed v and angle α . Find reasonable values of v and α . (c) Approximate the areas A and A v of your own height/width. Pay attention to the units. (d) Find your personal α max . (e) What is your optimal speed? Can you make it to the train at that speed? (f) How wet are you going to get? Use matlab to plot your function n ( u ). Please bring a computer to class next Wednesday!!!...
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