An airplane pilot wishes to fly due west.a wind of80.0km/hris blowing toward the south .

Question

a)if the speed of the plane (it's speed in still air)is 320.0km/hr ,in which direction should the pilot head? And what is the speed of the plane over the ground .illustrate with a vector diagram.

Answer 1

Well, he will fly N of W at an angle of arcsin(80/320). (sketch this out so you can see why)
speed over ground: sqrt(320^2-89^2)=about 307km/hr.