Caught In The Rain II

I was rather proud of my last post about being caught in the rain.  In that post, I concluded that you were better off running in the rain, but that the net effect wasn't incredibly great.  However, when I told people about it, the question I inevitably got asked was:  What if the rain isn't vertical?  That's what I'd like to look at today, and it turns out to be a much more challenging question.

Caught In The Rain

There's an age old question that mankind has pondered.  I'm sure that noble heads such as Aristotle, Newton, and Einstein have pondered it. I myself have raised it a few times.  The question is: do you get more wet running or walking through the rain?  Now, I know that this question was mythbusted a while back.  So this is one of those situations where I know the result I want to get to with my calculation: according to mythbusters running is better.  Still, I think formulating the question mathematically will be fun, plus if I fail to agree with experiment everyone can mock me mercilessly.