OCR PURE — Question 10

Exam BoardOCR
ModulePURE
TopicNon-constant acceleration

10 A particle \(P\) is moving in a straight line. At time \(t\) seconds \(P\) has velocity \(v \mathrm {~ms} ^ { - 1 }\) where \(v = ( 2 t + 1 ) ( 3 - t )\).
  1. Find the deceleration of \(P\) when \(t = 4\).
  2. State the positive value of \(t\) for which \(P\) is instantaneously at rest.
  3. Find the total distance that \(P\) travels between times \(t = 0\) and \(t = 4\).