I have done the numbers.

If your conversion from electricity was 100% efficient it takes about 15 watt hours to get a 3000 lb. car from 0 to 60. Surprisigly enough the energy is the same (not counting losses) if you do 0 to 60 in 3 seconds or 30.

Acceleration requires high power but not a lot of energy. If you could store the energy a surprisigly small engine could be used to maintain speed and rechare the the storage system. Even for a large car.

As long as no towing (or minimal) is required.