A swimmer wants to cross a river, from point A to point B, as shown in the figure. The distance di (from A to C) is 200 m, the distance d (from C to B) is 150 m, and the speed vr of the current in the river is 5 km/hour. Suppose that the swimmer's velocity relative to the water makes an angle of 0 = 45 degrees with the line from A to C, as indicated in the figure. ch d B d = 5 km/hour To swim directly from A to B, we want to determine the speed us, relative to the water, the swimmer have. To solve this problem, answer the following three questions: 1) Use only the y component of the swimmer's velocity with respect to the shore to determine the time t it take the swimmer to cross the river and arrive at point B. Express your result in terms of d, u, and 0. 2) Now find an expression for the same time t by considering only the x component of the swimmer's motion. Express your result in terms of d, u, v, and 0. 3) Find a symbolic expression for us. Use the previous queries to solve for us by eliminating the time t from the two equations you derived above. Express your result in km/h.