A jetliner has an air speed of 500 mph. A 200-mph wind is blowing from west to east.

(a) The pilot heads due north. In what direction does the plane fly, and what

is its ground speed? (Hint: Define a frame of reference 5' that moves with the wind. In Sf there is no wind; hence the plane always moves in the direction it is

headed, at 500 mph. Use the velocity transformation to find the components of

the plane's velocity in the ground frame.)

(b) In what direction should the pilot head in order to fly due north? What is

the plane's ground speed in this case?​