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Question1

A roller coaster car moves 248 ft horizontally and then rises 121 ft at an angle of 30° above horizontal. It then travels 121 ft at an angle of 40° downward. What is its displacement from its starting point? Use graphical techniques.

Question2

A drunken sailor stumbles 555 meters north, 505 meters northeast, and then 455 meters northwest. What are the total displacement and the angle of the displacement? (Suppose east is the +x-direction and north is the +y-direction.)

Question3

A car is driven east for a distance of 14 km, then north for 67 km, then in a direction 30 degrees east of north for 25 km. establish magnitude of the displacement (in kilometres) of the car from its starting point.

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