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