Of course, I do not forsee this being a cost effective approach, even without the regularty hurdles of highway speed docking.
It makes as much sense as calculating Delta-V of a car.
It's going to give you something like the equation for max velocity/altitude from a rocket, even if not precisely the same.
When every pound of fuel requires 5 pounds to lift it, things go one way. When every pound of fuel requires a tenth of a pound to push it, things go another way.
I am serious about the self driving 4 wheeled trailer full of batteries. Given the irrational claim that an electric car is useless to (all) Americans unless it can drive over 1000 miles per day, the best way to fight that irrational claim is to provide an equally irrational solution. So the proper way to fight an irrational thought experiment of needing to drive over existing electric car range, is provide the irrational solution of something like "mid-air refueling" but mid-highway instead of mid-air and electrical power instead of Jet-A. I've toyed with the idea of patenting it and publicizing it to make a political statement, but I generate good ideas a lot faster than I implement them, so ....
No need to own the self driving battery trailer, just pop up a smartphone app and your GPS talks to the closest charger's GPS and nature takes its course. With advanced enough communications it can drive in formation with a semi-autonomous car, tailgating is perfectly safe at 85 if your reflexes are faster than a couple nanoseconds and the existing wireless charging systems means the charger trailer doesn't need to actually touch your car.
Its amusing to think of a charge cart like this rolling around a parking lot as a public service to attract shoppers. No need to pull ultra high current charge cables to every lamp post or embed chargers in asphalt.
With a battery-powered sedan, you could go much further without bothering to detach the trailer, because it wouldn't contribute much to the air resistance.
You need to be driving in near-vacuum if you want it to be about fuel pushing fuel.
You can make something very sleek, slow, ultra-high-distance and invoke the rocket equation... but it's not a sedan.