A simulation of dropping a bouncy ball. It was inspired by this excellent sketch: [br][url]http://www.youtube.com/watch?v=MYX5V_Gj-aw[/url][br][br]The coefficient of restitution is the portion of velocity that is retained after impact, when colliding with a stationary object. (And who doesn't like a stationary floor?) [br][br]0) Run the simulation and see what you notice. What do the adjustable numbers control?[br]1) Is the model accurate?[br]2) How does the sequence of local maximums depend on the coefficient of restitution?[br]3) Is there a recursive or closed form expression for the bouncing points? For the local maxima?[br]4) How did the programmer construct the separate parabolas?

More GeoGebra at [url]http://mathhombre.blogspot.com[/url].