The magnitude of a velocity vector is called speed. Suppose that a wind is blowi

Question

The magnitude of a velocity vector is called speed. Suppose that a wind is blowing from the direction N45??W at a speed of 50 km??h. (This means that the direction from which the wind blows is 45?? west of the northerly direction.) A pilot is steering a plane in the direction N60??E at an airspeed (speed in still air) of 250 km??h. The true course, or track, of the plane is the direction of the resultant of the velocity vectors of the plane and the wind. The ground speed of the plane is the magnitude of the resultant. Find the true course and the ground speed of the plane.

Explanation / Answer

wind speed=50*sqrt(1/2)i+50*sqrt(1/2)j speed of plane=-250*cos30i+250sin30j resultant=179i+160j magnitude=240.32 direction=41.79deg=E41.79degN or N48.21E

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