A ship sails a distance of 200 m due West, then north 400 m and finally 100 m at 30° S of E. What is its net displacement? Solve by the component method and then by the polygon method.

Horizontal component = 100 m * cos(30°) = 86.6 m Vertical component = -100 m * sin(30°) = -50 m Adding up all the components, we get: Horizontal displacement = -200 m + 86.6 m = -113.4 m Vertical displacement = +400 m - 50 m = +350 m Therefore, the net displacement of the ship = sqrt((350)^2 +(-113.4)^2) = 367.91 m