Chapter 11.2, Problem 36E

A motorboat sets out at 10 am from a position (-6i – 2j) km relative to a marker buoy, and travels at a constant speed of 53km/h to intercept a ship. The ship maintains a steady velocity vector (3i + 4j) km/h and at 11 am is at a position (3i – j) km relative to the buoy. Find the velocity vector of the motorboat, the time of interception, and the position vector of the point of interception relative to the buoy.