1. A student stands on the southern bank of a river that is 50.0 m wide and has a current with a velocity of 1.1 m/s [E]. The student needs to get directly across the river using her boat. a) In order for the student to reach her destination, what must be the resulting direction of the velocity of the boat? [T-1, C-1] b) Describe in which direction the student should point the motor so that the net velocity of the boat is the same as the direction you determined in part a). Consider the vector components of the velocity of the boat and how they must add with the velocity of the river. [T-1, C-1] c) If the motor can push the boat with a speed of 3.8 m/s, what direction should the student point the motor to ensure that she reaches her destination? [A-2, C-1] d) How long does it take the student to cross the river? [T-1, A-1]