Two rowers of identical ability want to race across the river above. The goal is to touch the other side first (anywhere along the bank). Both rowers can row at a rate of 5m/s in still water. The river's current is 3m/s. Rower A points upstream so that she ends up travelling straight across the river along a line perpendicular to the point on the shore where she started. Rower B points directly across and ends up downstream due to the river's current. a. Which rower makes it across first? Why do you think this is so? b. If the river is 50m wide determine the time it takes for each rower to cross. Rower A (time to cross) - show work Rower B (time to cross) - show work c. Using rower B above solve for the following: Construct the equivalent displacement vector diagramand label all sides and angles with correct displacementalues. Use the equation d = vt and solve for d in each direction (i.e displacement downstream and diagonally). Velocity Diagram: (solve for Displacement Diagram (determine sides and angles) angles) 50 m 5 m/s Va 3 m/s DR = 58m Discuss the similarities and differences between these two vector diagrams: