AQA M1 2008 January — Question 2

Exam BoardAQA
ModuleM1 (Mechanics 1)
Year2008
SessionJanuary
TopicVectors Introduction & 2D

2 The velocity of a ship, relative to the water in which it is moving, is \(8 \mathrm {~m} \mathrm {~s} ^ { - 1 }\) due north. The water is moving due east with a speed of \(U \mathrm {~m} \mathrm {~s} ^ { - 1 }\). The resultant velocity of the ship has magnitude \(10 \mathrm {~m} \mathrm {~s} ^ { - 1 }\).
  1. Find \(U\).
  2. Find the direction of the resultant velocity of the ship. Give your answer as a bearing to the nearest degree.