CAIE M1 2010 November — Question 1

Exam BoardCAIE
ModuleM1 (Mechanics 1)
Year2010
SessionNovember
TopicSUVAT in 2D & Gravity

1
\includegraphics[max width=\textwidth, alt={}, center]{5125fab5-0be5-4904-afdf-93e91b16e773-2_608_831_258_657} Two particles \(P\) and \(Q\) move vertically under gravity. The graphs show the upward velocity \(v \mathrm {~m} \mathrm {~s} ^ { - 1 }\) of the particles at time \(t \mathrm {~s}\), for \(0 \leqslant t \leqslant 4 . P\) starts with velocity \(V \mathrm {~m} \mathrm {~s} ^ { - 1 }\) and \(Q\) starts from rest.
  1. Find the value of \(V\). Given that \(Q\) reaches the horizontal ground when \(t = 4\), find
  2. the speed with which \(Q\) reaches the ground,
  3. the height of \(Q\) above the ground when \(t = 0\).