DBL, Remember when you misinterpreted Nesbit's graphs? You're doing the same thing with the bull whip. They're complex things involving wave propagation, conservation of momentum and energy. And they have nothing to do with golf: http://math.arizona.edu/~goriely/Papers/2002-PRL(whip).pdf
You are right about one thing though. That equation does not require hand velocity to be increasing. We've all seen golfer's who's hands do slow down.
http://www.newgolfswing.com/images/newgolfswing08_clip_image016.jpg
Some who slow their hand are even "good" golfers. However, that does not mean they optimize their effort and in turn club head speed.
genuine question here. who is the golfer in that picture? its quite clear from that picture that their hands slow. if we know their identity then we can start to decide whether players should slow their hands to become 'good' players