velocity difference

I don't know what to post, so I decided to put something completely random. Here's a hypothesis of the velocity difference distribution (*) of two people walking by each other: the distribution will be a bell-shaped Gaussian curve with a minimum near zero. The gap will be bigger if the two know each other.

Assumption: the distribution of a person walking speed is Gaussian.

So the velocity difference between two different people will also be Gaussian distributed, which is the envelope of the curve. The hypothesis is then it's harder to pass other person with low relative speed, and it's even harder with familiar people. This causes the minimum around zero.

===footnote===
(*): defined only when they are passing each other




what's the point of this? I don't know..... I'm guessing that physics experiment analysis has made me weird.