A plane that is capable of travelling at 140 m/s wishes to travel due north from City A
to City B, 500 km away, but encounters a constant crosswind that blows 25 m/s due west.
a) What must the plane’s heading be in order to reach its destination?
b) Suppose the pilot has no navigational expertise and decides to aim straight for City B.
How far west of City B will the plane end up?
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An aircraft has to fly between two cities, one of which is north of the other. The pilot starts from the southern city and encounters a steady wind that blows from the northeast. The plane has a cruising speed of in still air. (a) In what direction (relative to east) must the pilot head her plane? (b) How long does the flight take?
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