Aero might play in a tiny way at the 40-60 MPH space, not meaningfully enough.

As for tires, no actually you can go much further than this. The big detail is wear and heat caused by tire softness and pressure. Road car tires can't enable 0-100KPH much faster than 1.9s or so purely because they can't be so soft as crusing on the highway would cause excess wear(practicality), heat (Danger), and friction(Range).

Drag Racers can accelerate way faster, 0-60MPH in .8s.