Piezo voltage conversion

I have a project I've been working off-and-on with as I have time, and have gotten most of it worked out, but want to try and eek out some more data from the current setup.

Basically I have a rectangular board with four peizo disc sensors attached, one in the middle of each side (top, bottom, left right). Currently, the project just uses the various readings from each of the four piezos in relation to eachother to locate where on the board a ball hits, and flashy LEDs ensue centered around that location.

What I'm wondering is, is it possible to use those same voltages and run them through some kind of algorithm/equations, to figure out how fast the ball was moving when it hit the board? I feel like I found something along these lines awhile ago when I was trying to figure out some other parts of the project, but can't seem to find it anymore. I remember something about "d33" constants of piezo elements and using that with the capacitance of the element to figure out how many Newtons of force were used to generate the voltage, but again I can't seem to find that again....and at this point it'd be much easier for me to adopt something someone else has already done than to go try by trial-and-error figure out how to incorporate this into some physics equations.

Anyone been able to read piezo voltages and map that back to a discreet amount of force?