An airplane is headed due south with an airspeed of 300 kph. A wind is blowing from the west at 120 kph. What is the ground speed and direction of the plane?

The plane’s southward airspeed is 300 kph, and the wind adds 120 kph eastward because it blows from the west. These perpendicular velocities give a ground speed of √(300² + 120²) ≈ 323 kph. The direction is arctan(120/300) ≈ 22° east of south, so the bearing is S 22° E.

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