8 A ship, S, is travelling south with a speed of 9kmh-1. a Write down its velocity as a column vector in which the two components are due east and north. 20 At 10:00 5 has displacement relative 15 Functions to a lighthouse, O. At the same time a speedboat, B. is traveling with velocity 12 and its displacement from O is b Find the distance S and B are apart at 10:00. trigonometry c Find the relative position of S from B hours after 10:00. At the point where S is south-east of B the boat changes direction while maintaining the same speed. d Find the time at which B changes direction and its displacement from 0 at which this occurs. Write down the displacement of 5 from O at this point. Find the bearing at which B needs to travel in order to intercept S