CAIE M2 2012 November — Question 3

Exam BoardCAIE
ModuleM2 (Mechanics 2)
Year2012
SessionNovember
TopicNon-constant acceleration

3 A particle \(P\) of mass 0.2 kg is released from rest and falls vertically. At time \(t \mathrm {~s}\) after release \(P\) has speed \(v \mathrm {~m} \mathrm {~s} ^ { - 1 }\). A resisting force of magnitude \(0.8 v \mathrm {~N}\) acts on \(P\).
  1. Show that the acceleration of \(P\) is \(( 10 - 4 v ) \mathrm { m } \mathrm { s } ^ { - 2 }\).
  2. Find the value of \(v\) when \(t = 0.6\).