Hot air rises due to its lower density compared to cooler air, which is a result of the increased kinetic energy of the molecules in the heated air. This phenomenon can be explained through the principles of buoyancy and Archimedes' principle, where less dense substances float above denser ones. The discussion also touches on the complexities of heat transport, emphasizing the roles of convection and temperature gradients in air movement. Additionally, it highlights that while hot air rises, the mixing of hot and cold air is slow due to the differences in molecular behavior and forces at play. Overall, the interplay of kinetic energy, density, and buoyancy explains why hot air ascends in the atmosphere.