I was looking online and i finally found where everything goes wrong.. With buoyancy, you cannot use simply F=ma to calculate acceleration of a bubble. It is not that simple. it ends up giving nearly unlimited acceleration in many circumstances when trying to apply it. ill get back about it when i have timelooren try not to be so cocky next time. everything is not always as straightforward as it may seem
I still maintain that F=ma. In your other thread, one post suggests "Check out Stokes' Equations on the terminal velocity of falling spheres." This seems the best approach. There, simply put, F=bv, where b is a damping constant. I believe that the velocity dependence arises not directly from a fundamental law but from nonconservative (e. g., frictional) action by forces on the atomic level.