1) A person walks 27.2 m at 34.5W of S, and then turns and walks 39.2 m due north. What is their total displacement?

2) A pilot wants to fly their plane due east to a small town. The speed of the plane in still air is 64.9 m/s. A wind is blowing steady at 12.7 m/s due north.

a) In what direction (heading) should the pilot direct the plane in order to arrive at the town?

b) At what speed will the plane be perceived to be moving from the point of view of someone on the ground?

3) A boat is heading due west across a river that has a current of 1.7 m/s south. If the speed of the boat in still water is 6.2 m/s, find the velocity of the boat as seen by an observer on shore.

(Remember velocity has both magnitude and direction!)