Hot air balloons rise due to the buoyant force created when the air inside the balloon, heated and made less dense by the burner, contrasts with cooler and denser outside air. The pilot controls altitude by adjusting the air temperature inside the balloon.
Hot air balloons move smoothly in the air due to the principles of buoyancy and the behavior of gases. As the air inside the balloon is heated by a burner, it expands and becomes less dense than the cooler air outside the balloon. This difference in density creates a buoyant force that lifts the balloon into the air. By controlling the temperature of the air inside the balloon, the pilot can make the balloon rise or descend. This is because the internal air temperature affects the balloon's density and thus its altitude. For landing, cooling the air inside the balloon reduces the buoyant force, allowing the balloon to descend smoothly.