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so in this video were going to solve using second law for an object in freefall with quadratic air resistance and if a quadratic air resistance is when the air is a sense is proportional to the velocity squared so in this situation we can solve for the terminal velocity again just setting the gravity equal to the air resistance and so with quadratic resistance the terminal velocity is equal to the square root of Mg over C notice how this is different from the linear air resistance case okay so now were ready to start solving the equation you know this is gonna be a lot harder than the linear case so you guys set up by writing out the net force and of course with again with taking down to be the positive direction so again this is a differential equation and so were going to divide by the mass the next what were going to do is factor out the G and youll see the reason for this soon so if you look at C over mg well it turns out that thats just the the reciprocal of the terminal ve