AQA M1 2015 June — Question 2

Exam BoardAQA
ModuleM1 (Mechanics 1)
Year2015
SessionJune
TopicVectors Introduction & 2D

2 A yacht is sailing through water that is flowing due west at \(2 \mathrm {~m} \mathrm {~s} ^ { - 1 }\). The velocity of the yacht relative to the water is \(6 \mathrm {~m} \mathrm {~s} ^ { - 1 }\) due south. The yacht has a resultant velocity of \(V \mathrm {~m} \mathrm {~s} ^ { - 1 }\) on a bearing of \(\theta\).
  1. \(\quad\) Find \(V\).
  2. Find \(\theta\), giving your answer to the nearest degree.