Two particles $P$ and $Q$ move vertically under gravity. The graphs show the upward velocity $vm{\text{ }}{s^{ - 1}}$ of the particles at time $t\,s$, for $0 \leqslant t \leqslant 4$. $P$ starts with velocity $V{\text{ }}m{\text{ }}{s^{ - 1}}$ and $Q$ starts from rest.
a) Find the value of $V$.
Given that $Q$ reaches the horizontal ground when $t = 4$, find
b) the speed with which $Q$ reaches the ground,
c) the height of $Q$ above the ground when $t = 0$.

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