Edexcel M4 2013 June — Question 5

Exam BoardEdexcel
ModuleM4 (Mechanics 4)
Year2013
SessionJune
TopicVectors Introduction & 2D

5. A coastguard ship \(C\) is due south of a ship \(S\). Ship \(S\) is moving at a constant speed of \(12 \mathrm {~km} \mathrm {~h} ^ { - 1 }\) on a bearing of \(140 ^ { \circ }\). Ship \(C\) moves in a straight line with constant speed \(V \mathrm {~km} \mathrm {~h} ^ { - 1 }\) in order to intercept \(S\).
  1. Find, giving your answer to 3 significant figures, the minimum possible value for \(V\). It is now given that \(V = 14\)
  2. Find the bearing of the course that \(C\) takes to intercept \(S\).