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Unformatted text preview: wi − v j · −i = A2 w But we’re not interested in the volumetric ﬂow rate, we want the actual volume of rain
(the larger the volume, the wetter you get). So we need to multiply by the amount of time
spent in the rain which is simply the distance s divided by your walking speed w. This gives
us a volume of A1 vs towards your head and shoulders, and A2 s towards your front.
w
Since w is in the denominator for the volume of rain coming at you from on top, a larger
w would mean a smaller volume. However the volume of rain coming towards your front is
independent of w, which means that your front is going to be just as wet no matter how fast
you run. So...
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This homework help was uploaded on 02/16/2014 for the course MATH 1920 taught by Professor Pantano during the Spring '06 term at Cornell University (Engineering School).
 Spring '06
 PANTANO
 Math, Multivariable Calculus, Dot Product

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