Two ships A and B, at a given instant, are 5 km away from each other. The ship A is South-East of the ship B. If the ship B is travelling at 10 km.p.h. due East and the ship A is travelling at 16 km.p.h. due North, determine (i) velocity of the ship A relative to the ship B ; (ii) shortest distance between the two ships ; and (iii) the time when the two ships are nearest to each other