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Vectors: Resultant Velocity

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An aircraft is to fly to a destination 800 km due north of its starting point. Its airspeed is 800 km/h. The wind is from the east at a speed of 30 m/s.

On what compass heading should the pilot fly?

How long will the flight take?

If the wind speed increases to 50 m/s, and the wind backs to the north east, but no allowance is made for the change, how far from the destination will the aircraft be at its expected arrival time, and in what direction?

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