CAIE M1 2014 November — Question 1

Exam BoardCAIE
ModuleM1 (Mechanics 1)
Year2014
SessionNovember
TopicSUVAT in 2D & Gravity

1 A particle \(P\) is projected vertically upwards with speed \(11 \mathrm {~ms} ^ { - 1 }\) from a point on horizontal ground. At the same instant a particle \(Q\) is released from rest at a point \(h \mathrm {~m}\) above the ground. \(P\) and \(Q\) hit the ground at the same instant, when \(Q\) has speed \(V \mathrm {~m} \mathrm {~s} ^ { - 1 }\).
  1. Find the time after projection at which \(P\) hits the ground.
  2. Hence find the values of \(h\) and \(V\).