A ferryboat, whose speed in still water is 4.00 m/s, must cross a river whose current is 3.00 m/s. The river runs from West to East and the boat is pointed North. 1. If the boat does not compensate for the flow of the river water, and allows itself to be pushed off course, what would be the new velocity of the boat? In answering this question, draw a vector diagram with the appropriate labels for the vectors, and state both the magnitude and direction of the velocity of the boat relative to the river bank. 2. The boat now compensates for the river current so that it travels straight across the river to the north without being pushed off course. Draw a labelled vector diagram for this situation, and determine the angle of the boat relative to the shore.