I was polite in my first post. I thought that perhaps another poster had been a little bit too mean. Please forgive me Jim, I thought that you were being too harsh, but that was not the case.
Eschuk, the consensus among the moped-riding (!) people on this site seems to be that you are being a bit sh!tty by riding on a bike path.
Strangely enough, I think you'll find that most cops used some kind of sixth, bull-headed cop sense to come to exactly the same conclusion. That's rare in this line of madness.
So, before I sign off, I have to repeat that the people you are in danger of angering most, and the intended users of the trail, all ride vehicles very similar to yours that they have to propel all by themselves.
They're almost as fast as you, and much fitter than you. Try to be nice to them.