OCR M1 2013 January — Question 2

Exam BoardOCR
ModuleM1 (Mechanics 1)
Year2013
SessionJanuary
TopicNon-constant acceleration

2 A particle \(P\) moves in a straight line. The displacement of \(P\) from a fixed point on the line is \(\left( t ^ { 4 } - 2 t ^ { 3 } + 5 \right) \mathrm { m }\), where \(t\) is the time in seconds. Show that, when \(t = 1.5\),
  1. \(P\) is at instantaneous rest,
  2. the acceleration of \(P\) is \(9 \mathrm {~ms} ^ { - 2 }\).