5. Rip Currents. Rip currentsare dangerous outflows of water at the beach that can carry swimmers away from shore. The vast majority of ocean saves are for swimmers caught in a rip current, and rip current contributed to 68 deaths in 2018.1Consider a swimmer who is 15m from shore and is caught in the middle of a rip current channel that is 10 m in width and has an outflow velocity of 1.5 m/s away from shore. Assume the swimmer is able to sustain a maximum swim speed of 1.7 m/s.

a)[2.5 pt] In what direction should the swimmer swim if they want to end up outside the rip channel but at the same distance from shore? Give your answer as an angle relative to the shoreline.

(b)[2.5 pt] Determine the total time it takes for the swimmer to make it back to shore if they swim directly back after leaving the rip current channel (this includes the time to get out of the rip current channel). Is this path better or worse (in terms of total time) compared tocase A or case B above?

15 m A Rp current width 10 m 15 m A Rp current width 10 m