@ Stafford, regarding bat speed after contact being a measure of power/momentum maintained (or at least not lost):
Again, I realize that is all seems counter-intuitive, but the point of contact is such a minute point of time that I don't think it matters.
I found ONE of the links I was looking for, and it kind of addresses this:
http://www.insidethebook.com/e...at_ball_collision/#2
You almost have to read through all the surrounding comments to get the full meaning, but he talks about how a batter wouldn't even need to have his hands ON the bat for it to make a difference. He also talks about something that I think is analogous to what you're saying, in an experiment where they measured ball exit speed when a ball strikes a bat that is suspended in air but not rigidly fixed and another where the bat IS rigidly fixed:
He answered this question:
"Let’s say that you had a ball traveling at 80 mph approaching a bat. One bat was held stationary at the handle. Another bat was dangling in the air by a string. The ball hits both bats. Will the ball go further coming off the rigid stationary bat? That would seem intuitive."
In this way:
"The experiment you describe has actually been done. Namely, a ball is shot out of a high speed cannon onto a stationary bat. In one case, the bat is held rigidly at the handle. In another case, the bat is suspended with strings, essentially free. In yet another case, the bat is pivoted at the handle. The speed of the ball coming off the bat is exactly the same in all three cases (assuming the impact occurs in the barrel)."
He he also said this, which touches on some of what we've been talking about:
"I agree that muscle mass, even upper body muscle mass, can affect power. But it does so by increasing the speed of the bat prior to its collision with the ball. As I said in my previous post, the batter could just as well let go of the bat just before contact with the ball and it would not make any difference in what happens to the ball. Strange, perhaps (although not to me), but true nevertheless."