AQA M1 2016 June — Question 4 3 marks

Exam BoardAQA
ModuleM1 (Mechanics 1)
Year2016
SessionJune
Marks3
TopicVectors Introduction & 2D

4 An aeroplane is flying in air that is moving due east at \(V \mathrm {~m} \mathrm {~s} ^ { - 1 }\). Relative to the air, the aeroplane has a velocity of \(90 \mathrm {~m} \mathrm {~s} ^ { - 1 }\) due north. During a 20 second period, the motion of the air causes the aeroplane to move 240 metres to the east.
  1. \(\quad\) Find \(V\).
  2. Find the magnitude of the resultant velocity of the aeroplane.
  3. Find the direction of the resultant velocity, giving your answer as a three-figure bearing, correct to the nearest degree.
    [0pt] [3 marks]