Topic: Hammer time...
The energy of a hammer (as it hits a string) is solely dependent on its mass and velocity - acceleration isn't part of the equation (first and second year engineering physics - refer to previous post).
Always keep in mind (because of the escapement action of pianos) that once the hammer escapes its connection to the key, we have no influence over it at all.
Oddly, many pianists that absolutely rely on this escapement feature, seem to forget what it means - it means that when the hammer flies to the strings, we no longer have any control over it until it returns to be re-activated by the key. Sadly most piano teachers are not physicists either, and the myth of the control over tone lingers.
I'm hijacking this string because it seems to have begun a new focus. Someone should apply these concepts to the creation of a better virtual piano keyboard controller. If I had the clams, I'd create or use a mechanism similar to existing acoustic piano mechanisms, but then use piezo triggers in place of the strings. This is the way MIDI drum pads work -you have a piezo transducer embedded in a rebounding surface that you strike with a stick. It would be great to have a keyboard controller that could easily be repaired and tweaked by the end user. And with the hammer hitting the rubber rebound pad substituting for the string cluster, you also get the "dribble" effect. Because of that nature of the hammer flying off the handle STS (escaping), you get those fast double hits by literally "dribbling" the ball close to the floor... or, in this case, dribbling the hammer close to the pad. Catch my drift ? The piano is a percussion instrument, after all. Why hasn't someone made a controller that treats it that way ? And don't say "...you can't touch this!"