CAIE M2 2007 June — Question 2

Exam BoardCAIE
ModuleM2 (Mechanics 2)
Year2007
SessionJune
TopicNon-constant acceleration

2 A particle starts from rest at \(O\) and travels in a straight line. Its acceleration is \(( 3 - 2 x ) \mathrm { ms } ^ { - 2 }\), where \(x \mathrm {~m}\) is the displacement of the particle from \(O\).
  1. Find the value of \(x\) for which the velocity of the particle reaches its maximum value.
  2. Find this maximum velocity.