For a small car a lead-acid battery may not be the best choice. It would be fairly heavy and the power it produced would probably be overkill. You need a high voltage to turn over a combustion engine, so that is why they are still used in cars. I think that a typical car battery is about 18 volts. I've read that these lead-acid batteries are actually quite inefficient for running the electronic stuff in your car though, so there have been ideas like having two different kinds of battery: one high voltage one to start the car, and another that runs all the electronics more efficiently.