Question

The pilot of an airplane notes that the compass indicates a heading due west. The airplane's...

The pilot of an airplane notes that the compass indicates a heading due west. The airplane's speed relative to the air is 200 km/h. If there is a wind of 26.0 km/h toward the north, find the velocity of the airplane relative to the ground.
Magnitude
??? km/h
Direction
??? ° north of west

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Answer #1

Let east is +i and north is +j

velocity of the airplane relative to the ground = airplane's velocity relative to the air + wind velocity

velocity of the airplane relative to the ground = 220(-i) + 26j

magnitude = 221.5 km/hr

direction = tan-1 ( 26/220) = 83.25 north of west

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