Fireworks
I wanted to make some fireworks for the new year, but then looking for information there was quite a bit of good math to be found. Including initial velocity in terms of shell size, a nice root function.
This sketch has that data in the spreadsheet. Best sources of data I found were:
library.thinkquest.org/15384/physics
geology.com/articles/fireworks
Experiment with the settings. The fuse controls how long till explosion, the shell size influences burst size as well as speed. Trajectory is the angle above the ground for the launch.
I could never find the burst speed, just eyeballed it from videos. Feel free to experiment.