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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.
- Find the value of \(V\).
Given that \(Q\) reaches the horizontal ground when \(t = 4\), find
- the speed with which \(Q\) reaches the ground,
- the height of \(Q\) above the ground when \(t = 0\).