A cyclist rides 5.0 km east, then 10.0 km at an angle west of north. From this point she rides 8.0 km west. What is the final displacement from where the cyclist started? Consider east to correspond to positive horizontal displacement and north to correspond to positive vertical displacement.
A pedestrian walks 6.00 km east and then 13.0 km north.
Find the pedestrian’s resultant displacement.
At what angle north of east does the pedestrian walk?
In an attempt to escape a desert island, a castaway builds a raft and sets out to sea. The wind shifts a great deal during the day, causing the castaway to lose control of her raft. A search party used satellite images to track her movement from the point that she left the island. Meanwhile a rescue party traveled to intercept her. The following movements were tracked and relayed to the rescue party: north of west for 2.50 km, then south of east for 4.70 km, then south of west for 5.10 km, then east of north for 1.70 km, then south of west for 7.20 km, and finally north of east for 2.80 km. At this point the castaway was rescued.
What was the magnitude of the displacement of the castaway from the point she left the island to the point where she was rescued?
What was the direction of the castaway’s displacement from the point she left the island to the point where she was rescued?