AQA Paper 2 2019 June — Question 15

Exam BoardAQA
ModulePaper 2 (Paper 2)
Year2019
SessionJune
TopicVectors Introduction & 2D

15 Four buoys on the surface of a large, calm lake are located at \(A , B , C\) and \(D\) with position vectors given by $$\overrightarrow { O A } = \left[ \begin{array} { l } 410
710 \end{array} \right] , \overrightarrow { O B } = \left[ \begin{array} { r } - 210
530 \end{array} \right] , \overrightarrow { O C } = \left[ \begin{array} { l } - 340
- 310 \end{array} \right] \text { and } \overrightarrow { O D } = \left[ \begin{array} { c } 590
- 40 \end{array} \right]$$ All values are in metres.
15
  1. Prove that the quadrilateral \(A B C D\) is a trapezium but not a parallelogram.
    15
  2. A speed boat travels directly from \(B\) to \(C\) at a constant speed in 50 seconds. Find the speed of the boat between \(B\) and \(C\).