I just received my IB grade 12 IA today after being sick all last week and Monday. Needless to say it is due on Friday

http://teacher.ocps.net/joel.brielmaier/Calc/ib%20portfolios/crows%20and%20nuts.pdf

If anyone can help me find the proper equations to perfectly explain this graph I would be eternally grateful.

Use excel to plot the points.

I'm guessing that it's going to take the form 1/x.

Why? Well, a certain force is required to break the nuts. If you drop something from x times as high, it will hit the ground with x times as much kinetic energy, and given that it has to stop in a fairly small, fairly fixed distance the average force of impact will be about x times as much. I'm guessing this means the probability of it not breaking on a given drop divides by x, so it will require 1/x times as many drops to break it on average.

But you should plot the data and make sure—I could be totally wrong.

Where h=height, I found that graphing 1/(h-1)^2 against the number of drops gave a pretty straight line for the Large nuts.

But it looks like there is a minimum force required to damage the nut, so below a certain distance there is not damage at all.
You can find out the impact velocity and KE at impact using basic physics, but you said this was a maths class, yes?

Also, you could say what sort of stuff you missed last week....