I tried to use math to defend myself recently when ticketed for using a cel phone in a school zone. As an aside, I was using it legally (hands free) and picked it up after I exited the school zone, the officer said, "you picked it up about 5 feet before the end of the zone."
It was a very, very interesting experience and I pretty much learned the point you just made AC. At the end of the day, in which I defended myself with math/physics the judge said, "I feel like I just had a college physics class. You know, there are two school zones on that street. You may have been in the zone, you may not have. I don't care, you have no business being on your phone on that street. You are free to appeal my decision.
The fine was an annoyance (like 150) but I found it a very interesting experience in how small suburbs within cities make money and how a person going in there to defend themselves has basically no chance.