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An aircraft is moving through air, so when the air moves, the plane moves too, especially when the wind comes from the side. When, for example, the wind is very strong, and the airplane flies with the wind, the velocity of the air adds to the velocity of the aircraft and the aircraft will move faster, and to the contrary, a plane flying against the wind will be flying slower than in still air. Pilots use this effect when choosing landing approach path to reduce touchdown speed.
Extreme example of this is the Jet Stream - very strong wind that occurs over the Mediterranean Sea and parts of North America, with wind speeds over 300mph/500kph, which can effectively stop an airplane in mid-air. The amount of movement is tied to plane body's air friction, shape, engine(s) power and mass.
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