An airplane pilot sets a compass course due west and maintains a speed of 220 km/h. after flying for a half hour she finds herself over a town 120 km west and 20 km south of her starting point. (a) find the wind velocity (magnitude and direction). (b) if the wind velocity is 40 km/h due south, in what direction should the pilot set her course to travel due west? use the same airspeed of 220 km/h.

Explanation:

As we know that the velocity of the plane is

towards west

after half an hour the displacement of the plane in west direction is given as

towards south the displacement is given as

now we know that net velocity towards west

Similarly towards south we have

So the net speed of the wind is given as

direction of wind is given as

muscle endurance

explanation:

i can do 50 in a row ( but i get so tired after that)