In all problems below, air resistance is negligible. Problem 1 (15 points). A boat with a still-water speed of 1.40 m/s 1200 m is to cross a river, 1200 m wide, in which the current is flowing at 0.80 m/s. (a) In what direction should the boat head in order to reach Point B VR TO 80M on the other bank of the river, parallel & directly opposite its starting point, Point A? Express the direction in terms of the Shore angle 0 between the velocity vector of the boat and the river bank (7 points). A B (b) How long will it take the boat to reach Point B? (3 points) (c) If, instead of heading in the direction shown in the figure on the right, the boat headed straight across from A to B, would it take less or more time, or the same amount of time, to cross the river? Briefly justify your answer in your own words. (5 points)