I think the Tesla uses cells from A123 which are not quite the same as the batteries that you find in your laptop.
The big difference is that the A123 cells can tolerate extreme rates of charge and discharge, far in excess of what a laptop battery can take.
The A123 battery does have lithium in it.
If you are dying for these cells the new DeWalt 36V batteries have them. If 2miles is your goal might I suggest a good pair of feet?
Failing that this is well well within the technical limit of good old lead acid.
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