Should You Walk or Run in the Rain?

Question:
You are caught without an umbrella in the rain and wish to get to your dorm, 1 km away, in the driest possible condition. Should you walk or run?
To answer this question, calculate the ratio of the rain drop collisions with your body under the two conditions. Assume that the cross section is independent of direction (i.e., that you are spherical), that you run at 8 m/s , you walk at 3 m/s , and that the rainfall is constant with a velocity of, say, 15 m/s .


Solution:
If you are spherical, the number of collisions you experience with raindrops at time interval ∆t, is given by,

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