I've been trying to think of a hobby and stumbled upon the idea of constructing a motorcycle. The catch here is that it would have to be electric--I hate having to use gas stations. I would only use it for commuting to school (a little over 2 miles each way) and in-town driving (who knows, anywhere up to 10 miles each way). But, I live on a hill that is fairly steep, so the motorcycle would have to be powerful enough to handle about an 8 to 10 degree incline for about 1/4 or 1/5 of a mile. Even though I'd stay close to home, I'd like to make it go as fast as possible. Now, the most difficult part of this will undoubtedly be the power supply. Lithium battery packs are probably the only things I'll be able to obtain--I'm using my own money for this, so the budgets pretty low. Before I plunge head-first into this project, I thought it would be wise to get the opinions of some science minded people. One last thing, also before I start I'd like to have the math worked out (engine output, power requirements, braking, maximum weight, all that stuff). I don't know any formulas outside of the ones from my high school physics class and don't know if those are applicable to this situation.