I didn't assume you are trying to power a car. I assumed that you are trying to work at the energy and power levels that a car battery is intended to work at.You have made a lot of assumptions and I’m not going to get into them all, but for example, just cause I said car battery doesn’t necessarily mean I’m going to use it to power a car.
Anyway, I’m not trying to debate the feasibility of anything, it also involves explaining a lot of extra stuff, I’m merely trying to ballpark determine one aspect of it for now. I will then experiment and I can share some findings from there.

