An airplane travels with a speed of 145 mph in calm air. the wind is blowing with a velocity of 23 mph from N72degreesE. If the plane is headed in a direction N63W, find the magnitude of the speed and the direction of the airplane with reference to the ground. In what direction must the airplane be headed in order to fly in the direction N63W, and what would be its actual speed in the air?

Answer 1

convert the two vectors p and w (fir plane and wind) to rectangular coordinates, and add them up.

p+w is the resultant velocity on the ground.

A vector w in the direction N63W, with magnitude w is <-0.454w,0.891w>.