Halliday, Resnick & Walker — Motion in Two and Three Dimensions: Problem 118

You are to ride an airboat over swampy water, starting from rest at point i with an x axis extending due east and a y axis extending due north. First, moving at 30° north of due east: (1) increase your speed at 0.400 m/s² for 6.00 s; (2) with whatever speed you then have, move for 8.00 s; (3) then slow at 0.400 m/s² for 6.00 s. Immediately then move due west: (4) increase your speed at 0.400 m/s² for 5.00 s; (5) with whatever speed you then have, move for 10.0 s; (6) then slow at 0.400 m/s² until you stop. In magnitude-angle notation, what then is your average velocity for the trip from point i?