Max Q refers to the point during atmospheric flight when aerodynamic stress on a vehicle is highest. It occurs when the opposing forces of increasing vehicle speed and decreasing air density reach equilibrium, creating maximum dynamic pressure. Rockets, aircraft and other vehicles are designed to withstand only a certain maximum dynamic pressure before risking structural damage. During launches, passing through max Q is a key milestone and risk point, as demonstrated by the Space Shuttle Challenger disaster occurring shortly after max Q. The document provides mathematical formulas to define and calculate dynamic pressure based on factors like air density, velocity and temperature.