For my Calc based Physics class we will be given an egg, a required height and a bungee cord (non-linear). We're to have already come up with a formula for this bungee cord to compute the required length so that we'll be able to drop the egg from the height and come as close to the ground as possible without the egg breaking.
The problem is that Hooke's Law does not apply since the bungee cord is a non-linear spring. I assume we'll have to expirement to find the function of the bungee cord.
We attempted this by running the cord horizontally on a track with a frictionless cart attached, and used a force-meter and motion detector to measure force versus position. Using a computer program we then attempted to plot the graph and find the equation. However the one we got was incorrect. We had a quintic equation, and I'm not sure that this is the right power...
Any help would be appreciated.