Edexcel M4 2007 June — Question 4

Exam BoardEdexcel
ModuleM4 (Mechanics 4)
Year2007
SessionJune
TopicVectors Introduction & 2D

4. At 12 noon, \(\operatorname { ship } A\) is 20 km from ship \(B\), on a bearing of \(300 ^ { \circ }\). Ship \(A\) is moving at a constant speed of \(15 \mathrm {~km} \mathrm {~h} ^ { - 1 }\) on a bearing of \(070 ^ { \circ }\). Ship \(B\) moves in a straight line with constant speed \(V \mathrm {~km} \mathrm {~h} ^ { - 1 }\) and intercepts \(A\).
  1. Find, giving your answer to 3 significant figures, the minimum possible for \(V\). It is now given that \(V = 13\).
  2. Explain why there are two possible times at which ship \(B\) can intercept ship \(A\).
  3. Find, giving your answer to the nearest minute, the earlier time at which ship \(B\) can intercept ship \(A\).
    (8)