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An airplane flies 200 km due west from city A to city B and then 275 km in the direction of 31.5° north of west from city B to city C.

(a) In straight-line distance, how far is city C from city A?

km

(b) Relative to city A, in what direction is city C?

° north of west

(c) Why is the answer only approximately correct?

2.A figure skater glides along a circular path of radius 5.00 m.

(a) If she coasts around one half of the circle, find the magnitude of the displacement vector.

m

(b) If she coasts around one half of the circle, find what distance she skated.

m

(c) What is the magnitude of the displacement if she skates all the way around the circle?

m

3. A quarterback takes the ball from the line of scrimmage, runs backwards for 11.0 yards, then runs sideways parallel to the line of scrimmage for 21.0 yards. At this point, he throws a 60.0-yard forward pass straight downfield, perpendicular to the line of scrimmage. What is the magnitude of the football's resultant displacement?

yd