Pinball Physics... Need Help

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I need some help with the physics for a pinball game for ball control. I have no problem with simple stuff like a breakout style game, but for the pinball game, I am having trouble. Examples of problems: speeding up the ball after hitting a bumper then having it slow back down, and adding the "gravity" effect to the ball. I am happy with my flipper control, but the ball collision I am having problems with, as you cannot "catch" and "hold" the ball with the flipper (with the flipper upraised and the ball will set still between the flipper and the side of the pinball board).

I have "googled" but not really been able to find anything worthwhile. Any help would greatly be appreciated.