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 and he is blown along the following directions: 2.50 km and north of west, then 4.70 km and south of east, then 1.30 km and south of west, then 5.10 km straight east, then 1.70 km and east of north, then 7.20 km and south of west, and finally 2.80 km and north of east.
Find the castaway’s final distance from the island.
Find the compass direction that this distance is in.
Aaron Rogers throws a football at 20.0 m/s to his wide receiver, who runs straight down the field at 9.40 m/s for 20.0 m. If Aaron throws the football when the wide receiver has reached 10.0 m, what angle does Aaron have to launch the ball so the receiver catches it at the 20.0 m mark?
A particle located initially at m undergoes a displacement of m. What is the final position of the particle?
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?
A trapper walks a 5.0-km straight-line distance from his cabin to the lake, as shown in the following figure.