OCR M1 2014 June — Question 3

Exam BoardOCR
ModuleM1 (Mechanics 1)
Year2014
SessionJune
TopicNon-constant acceleration

3 A particle \(P\) travels in a straight line. The velocity of \(P\) at time \(t\) seconds after it passes through a fixed point \(A\) is given by \(\left( 0.6 t ^ { 2 } + 3 \right) \mathrm { ms } ^ { - 1 }\). Find
  1. the velocity of \(P\) when it passes through \(A\),
  2. the displacement of \(P\) from \(A\) when \(t = 1.5\),
  3. the velocity of \(P\) when it has acceleration \(6 \mathrm {~ms} ^ { - 2 }\).