A carnival merry-go-round rotates about a
vertical axis at a constant rate. A man standing on the edge has a constant
speed of 3.66 m/s and a centripetal acceleration of magnitude
1.83 m/s2. Position vector locates
him relative to the rotation axis. (a) What is the magnitude of ? What is the direction of when is directed (b) due east and (c) due south?