OCR M4 2017 June — Question 2

Exam BoardOCR
ModuleM4 (Mechanics 4)
Year2017
SessionJune
TopicVectors Introduction & 2D

2 A ship \(S\) is travelling with constant speed \(5 \mathrm {~ms} ^ { - 1 }\) on a course with bearing \(325 ^ { \circ }\). A second ship \(T\) observes \(S\) when \(S\) is 9500 m from \(T\) on a bearing of \(060 ^ { \circ }\) from \(T\). Ship \(T\) sets off in pursuit, travelling with constant speed \(8.5 \mathrm {~ms} ^ { - 1 }\) in a straight line.
  1. Find the bearing of the course which \(T\) should take in order to intercept \(S\).
  2. Find the distance travelled by \(S\) from the moment that \(T\) sets off in pursuit until the point of interception.
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