My own question, carried to a new thread as not to derail another:
Volumes have been written on this subject -- google for it, and focus on the papers from peer reviewed journals -- there's quite a bit of crack all over on this topic. You might want to learn classical mechanics a little further -- Goldstein, Classical Mechanics is the classic (no pun intended) reference. Understanding the role of time in classical mechanics is a prerequisite before you move on to the much trickier situation in QM. Suffice to say that momentum and velocity have almost exactly nothing to do with each other.
Separate names with a comma.