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

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