Final answer:
The question involves calculating the resultant displacement vector for a diver who has moved in specified directions and been affected by a current, using vector addition and components.
Step-by-step explanation:
The question deals with vector addition and displacement in the context of a diver's path as influenced by local currents. A diver who swims 90.0 m north, 200.0 m east, and then 80.0 m at 30° north of east, and is displaced 150.0 m south by a current, needs to determine the resultant displacement vector to return to the starting point. To solve this, one would break down the path into its component vectors, calculate the total displacement in each cardinal direction, and then use these to find the magnitude and direction of the return path.