A small boat is headed for a harbor 36km directly northwest of its current position when it is suddenlyengulfed in heavy fog. The captain maintains a compass bearing ofnorthwest and a speed of 9.4 km/hrelative to the water. The fog lifts 3.0 h later and the captainnotes that he is now exactly 3.7 kmsouth of the harbor.
(a) What was the average velocity (inkm/h) of the current during those 3.0 h?
(b) In what direction (in degrees west ofnorth) should the boat have been heading to reach its destinationalong a straight course?
(c) What would its travel time (inhours) have been if it had followed a straight course?