Edexcel M3 2012 January — Question 3

Exam BoardEdexcel
ModuleM3 (Mechanics 3)
Year2012
SessionJanuary
TopicNon-constant acceleration

3. A particle \(P\) is moving in a straight line. At time \(t\) seconds, \(P\) is at a distance \(x\) metres from a fixed point \(O\) on the line and is moving away from \(O\) with speed \(\frac { 10 } { x + 6 } \mathrm {~m} \mathrm {~s} ^ { - 1 }\).
  1. Find the acceleration of \(P\) when \(x = 14\) Given that \(x = 2\) when \(t = 1\),
  2. find the value of \(t\) when \(x = 14\)