I think it's physically impossible for a billiard ball to travel faster than the cue stick that hits it.
Momentum is just the transfer of stored energy. When the ball and cue tip are equal hardness the transfer is close to 100%. This is not the case for something like a golf ball where the ball is softer than the clubhead. In this case the ball compresses. The additional time it takes for the ball to compress allows more energy to be transfered and stored in the golf ball.
But a billiard ball is too hard to experience any meaningful compression. I guess if you used a hard-steel tip you might get some minor compression that results in a 100.001% transfer of energy. But you'd go through cue balls pretty quickly. :grin:
The weight of the cue stick should be immaterial. Perhaps a heavier cue stick will achieve energy transfer closer to 100% than a lightweight cue stick will. But it's not going to exceed 100%.
I will have to respectfully disagree.
I believe that conservation of momentum and energy dictate that the cue-ball will travel faster than the cue-stick.
Maybe some real life factors alter things somewhat, but i can't imagine by enough to cause the ball that weighs 6oz to go slower than the cue than weighs 18-20 oz.