If you are walking from point A to point B in the rain, do you get more or less wet depending on how fast you walk?
Sounds stupidly simple, doesn’t it. Not so (for me, at least). Here are some things we can assume for the sake of the problem:
- let’s assume you are rectangular - let’s say, 1 meter, 0.5 meters wide, and 0.5 meters deep
- forget about dripping rain - any drop that hits you counts as one drop
- the rain is evenly distributed and falls at a constant and consistent speed
The qestion is, over a given distance, does the rate at which you move (in a straight line, you can assume) affect how many drops of rain you come in contact with?
If you run fast, you’ll “run through” more drops, right? However, you’ll also be in the rain for less overall time (remember, we’re going a set distance).
It might help to think through the problem in two dimensions.