OCR M4 2004 January — Question 3

Exam BoardOCR
ModuleM4 (Mechanics 4)
Year2004
SessionJanuary
TopicVectors Introduction & 2D

3 From a speedboat, a ship is sighted on a bearing of \(045 ^ { \circ }\). The ship has constant velocity \(8 \mathrm {~m} \mathrm {~s} ^ { - 1 }\) in the direction with bearing \(120 ^ { \circ }\). The speedboat travels in a straight line with constant speed \(15 \mathrm {~m} \mathrm {~s} ^ { - 1 }\) and intercepts the ship.
  1. Find the bearing of the course of the speedboat.
  2. Find the magnitude of the velocity of the ship relative to the speedboat.