Problem 1 (Z-Bmod) A river ows at speed raw = 0.50 m/ s between parallel shores a dis- tance D = 35 In apart. A swimmer swims at speEd as = 1.00 III/s relative to the water. The swimmer swims straight toward the opposite shore, 128., in a direction perpendicular to the shoreline as seen by the swimmer, so they are swept downstream. Dene the frame 8 to he the frame of a person standing on the shore and frame 8" to be an observer oating along with the water at velocity V = aw in the +w direction. (a) Draw two separate pictures of the swimmers velocity in both the S and 5" frames, den- ing coordinate axes ((za'y) and (m','y')] and the swimmer's velocity (1) and '0') in both frames. (b) Using the Galilean transform, calculate the s: and y components of the swimmer's ve- locity with respect to the shore (of and 19%,). (c) How much time does it take them to reach the opposite shore? Why doesn't this depend on aw? (d) How far downstream are they swept