Edexcel M3 2022 June — Question 3

Exam BoardEdexcel
ModuleM3 (Mechanics 3)
Year2022
SessionJune
TopicVariable Force

  1. In this question you must show all stages of your working.
\section*{Solutions relying entirely on calculator technology are not acceptable.} A particle \(P\) is moving along a straight line. At time \(t\) seconds, \(P\) is a distance \(x\) metres from a fixed point \(O\) on the line and is moving away from \(O\) with speed \(\frac { 50 } { 2 x + 3 } \mathrm {~ms} ^ { - 1 }\)
  1. Find the deceleration of \(P\) when \(x = 12\) Given that \(x = 4\) when \(t = 1\)
  2. find the value of \(t\) when \(x = 12\)