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1. (20 points) In a regatta, a racing sailboat sails a triangular course from the start/finish point to each of two buoys marking the course, and then back to the start/finish line. The first leg is sailed at a speed of 4.5 knots (2.3 m/s) an a heading 20 degrees east of north, for 90 minutes. The final leg, which brings the craft back to the start finish line, lasts 70 minutes on a heading 30 degrees south of east, at 6.5 knots (3.3 m/s). a) Use the axes below and make an approximate sketch of the boats’s motion. The sketch need not be precisely to scale but should be representative of the magnitudes and directions of each vector. Be sure to begin at the origin, show the three individual displacements of the boat. Hint: It is possible to make this sketch before doing parts (b) and (c) below, in fact... it might just help... > o Qt Bry for fom, Ab IF EN d = 19.42 km L90° (cow Som x) 2 2 _ Q, 27 ke — 2 . a i. Dot 33 mls fon 70m, A 32 SBE = 13.86 km £330° 4, > 2 ~ . G+, +£, 70 gL ~£, ~b, b) What course must the skipper of the boat sail on the second leg of the race? Express this as an angle measured counter-clockwise from east. ~ 0,5 - [2 YD km (cr 20) 2 4 121 Yokm (oro?) | + [380 km cual 330) L 4 B56 kn an(s0h5| - _ gf tok = ~/G.95 #74 m, 0 . nd 5 ° @ - fon! (Re = jel, bit an 3 prodia, so 196 16:25km c) If it took 60 minutes to sail the second leg, what was the average speed of the boat (magnitude of velocity, in m/s) for that second leg? 1 @[- (-16.25bn) + (-4.1 hg)” = 16,93 km sot (Lame) = ty 6Om ee 
