1. The captain of a boat wants to travel directly across a river that flows due east with a speed of m/s. He starts from the south bank of the river and heads towards the nort bank. The boat has a speed of 5.57 m/s with respect to the water. The captain steers the boat in the direction 315. How fast is the water flowing? 2. A child sits at a distance of 3.0 m from the axis of a merry-go-round in an amusement park. If the merry-go-round makes 2 rev in 5.0 s, find the (a) tangential speed, (b) centripetal acceleration of the child.