Sorry guys, I've been away awhile....
"OK, so I was pondering life's little nagging questions, and this occurred to me...
As you're aware, the Heisenberg Uncertainty Principle teaches us that it is impossible to know a particle's velocity AND it's location at the same time...you can determine one or the other, but not both. Granted that this is true, how can a police officer claim to have sufficient grounds to issue you a speeding ticket? If he claims he knows how fast you were going, he can't say that you were actually there...if he says you were, there, he can't say he knows how fast you were going. "
Ok, Motoman, here's your answer, but you've opened up a bigger can of worms than you may realize:
Unfortunately for me and my last speeding ticket, as someone said before, the amount of uncertainty is somewhat small. But more importantly, the amount of uncertainty DECREASES as the mass of an object INCREASES. This should be obvous from simple proportions that a .1 inch error in a position for an object .01 inches long is huge compared to a .1 inch position error in an object 1 inch long. These are made up numbers and a simplistic approach, and the vagaries of quantum mechanics make the actual implications for extremely small particles pretty bizzare, but you get the idea. The wave/particle duality of light is an example of the weirdness of quantum mechanics, but I won't go into explaining that at the moment (most should know at least the idea).
In any case, the fact that quantum mechanics breaks down for large objects means that it has little effect on that cop's radar gun output. On a scientific level it also means that the two great theories of physics, on which most of modern technology is based, are essentially mutually exclusive - they contradict each other and can't both be right. One is quantum mechanics of course, and the other is Einstein's relativity. Relativity works exceedingly well for very large objects and quantum mechanics works exceedingly well for very small ones. When each is applied to the domain of the other, neither work. The last great challenge in physics, indeed one of the capstone achievements of science, would be to find a theory that unifies the two - the "Grand Unification Theory." The search for this theory is what is driving the leading edge of physics.