I'm a karate instructor desperately trying to find a model or formula that explains what happens to the to speed and acceleration of a limb under varying conditions. If you assume that a limb has a travel distance of 3 feet, moving from stationary, and the limb weighs 5 kilos. If I assume that it takes .2 econds for the limb to travel its total distance, yet achieves maximum acceleration after 1 foot, does the remaining travel time at uniform velocity slow down the overall acceleration from what it was at 1 foot, or does that figure remain the same? What if I assume a constant increase in acceleration for the entire .2 seconds - how does that change the other variables? What formula do I use to prove it?