> The air pressure is proportional to either v or v² depending on the speed and atmosphere.
1. I think you mean "air resistance". Yes?
2. If so, then no, air resistance transitions from (linear) Stokes drag at low velocities to (aptly named) quadratic drag at higher velocities, as a function of velocity, but not a function of air pressure. So not "either v or v^2", but a combination of the two factors.