OCR M1 2008 January — Question 4

Exam BoardOCR
ModuleM1 (Mechanics 1)
Year2008
SessionJanuary
TopicNon-constant acceleration

4 The displacement of a particle from a fixed point \(O\) at time \(t\) seconds is \(t ^ { 4 } - 8 t ^ { 2 } + 16\) metres, where \(t \geqslant 0\).
  1. Verify that when \(t = 2\) the particle is at rest at the point \(O\).
  2. Calculate the acceleration of the particle when \(t = 2\).