Question

1)An airplane starting from airport A flies 300 km east, then 350 km at 30.0° west of north, and then 150
km north to arrive finally at airport B. (a) The next day, another plane flies directly from A to B in a
straight line. In what direction should the pilot travel in this direct flight? (b) How far will the pilot travel
in this direct flight? Assume there is no wind during these flights.
2)A person going for a walk follows the path shown in Fig. The total trip consists of four straight-line
paths. At the end of the walk, what is the person's resultant displacement measured from the starting
point?
I
3)The rectangle shown in Figure has
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Answer 1

Answer:

airplane starting from airport A flies 300 km east, then 350 km at 30.0 degree west of north, and then 150 km north to arrive finally at airport B. (a) The next day, another plane flies directly from airport A to airport B in a straight line. In what direction should the pilot travel in this direct flight? (b) How far will the pilot travel in this direct flight? Assume there is no wind during these flights.

Use the Component Method of resolving the 3 vectors into the x and y components. Since the x components are colinear, simply algebraically add them. Same for y components. Then use Pythagorean Theorum to find Resultant displacement. Inverse tangent function gives you direction of displacement (i.e.,interior angle). If by the term FAR, they mean DISTANCE instead of DISPLACEMENT, simply add the distances given in the problem instead of finding their vector sum.