# Mythbusters, Motorcycles, and Kinetic Energy

I don't need to explain that I think the Mythbusters are awesome (do I?). I just finished watching their latest episode. In it, they tested the scene from Indiana Jones and the Last Crusade where Indy puts a flag pole in another motorcycle wheel. The result in the movie is that the motorcycle goes flipping in the air. I have no problems with their test - it seems like they did a decent job. However, in the end, Adam says something to the effect:

*"Look how high that bike went. It took a lot of energy. There is no way that energy could come from this stick I shove into the wheel."*

I am sure many people will attack him for saying the energy came from the stick. He was probably just excited from blowing up a motorcycle that his tongue slipped (that kind of stuff happens to me all the time). Maybe he meant to say that there was no way that bike could get that high without explosives? I don't think this is correct. The motorcycle has kinetic energy, probably a lot. So the question is: if a motorcycle is traveling at 40 mph (like in the show) how high could it go? The easiest answer is to think about a ramp. If the motorcycle interacted with a ramp that shot it vertically, how high would it go?

(you know I have to have a picture)

If I consider the motorcycle plus the Earth as the system, then the external work on it during this motion is zero. This gives:

Here I am assuming at the highest point, the velocity (v2 is zero) and the initial y (y1) is zero. Also, note that the mass cancels. So, if the motorcycle is going 40 miles per hour ([according to google calculator, that is 17.9 m/s](http://www.google.com/search?q=40+mph+in+m%2Fs&ie=utf-8&oe=utf-8&aq=t&r…)), then I can plug in: