Acceleration is related to the square of the weight.
F = ma, or a = F/m = Fg/(weight). It’s an inverse relationship, but there’s no squared term. In other words, acceleration is proportional to the reciprocal of the weight, not to the reciprocal of the square of the weight. OK, F isn’t exactly constant over a range of RPMs, but you’re still integrating over the same power curve.
Aero drag increases with the square of the airspeed, but that’s not the same thing (although the drag does counteract the engine output to decrease the force F available for acceleration). Yes, I’m a Mechanical Engineer, thanks for asking. :loony:
I’m still having trouble wrapping my brain around the notion that FWB doesn’t matter from a lap-time perspective, but then again I’m still at the “brakes too much, just happy to get back to the pits under his own power” phase. 😳