OCR MEI AS Paper 1 Specimen — Question 5

Exam BoardOCR MEI
ModuleAS Paper 1 (AS Paper 1)
SessionSpecimen
TopicNon-constant acceleration

5 Particle P moves on a straight line that contains the point O .
At time \(t\) seconds the displacement of P from O is \(s\) metres, where \(s = t ^ { 3 } - 3 t ^ { 2 } + 3\).
  1. Determine the times when the particle has zero velocity.
  2. Find the distances of P from O at the times when it has zero velocity.