A 100 m wide river has a uniform current flow of 3.0 m/s east relative to the banks of the river. A boat leaving the south bank with a speed of 8.0 m/s relative to the water wants to arrive on the other side of the river at a point directly north of its departure point. (a) Show in a vector diagram the direction that the boat's velocity vector should be relative to the water. (b) How long does it take the boat to get to the other side?