OCR MEI Paper 1 2018 June — Question 5

Exam BoardOCR MEI
ModulePaper 1 (Paper 1)
Year2018
SessionJune
TopicNon-constant acceleration

5 The position vector \(\mathbf { r }\) metres of a particle at time \(t\) seconds is given by $$\mathbf { r } = \left( 1 + 12 t - 2 t ^ { 2 } \right) \mathbf { i } + \left( t ^ { 2 } - 6 t \right) \mathbf { j }$$
  1. Find an expression for the velocity of the particle at time \(t\).
  2. Determine whether the particle is ever stationary.