5.
\begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{bf4361b8-acd2-4133-81b7-2f68d018486f-3_99_1036_242_379}
\captionsetup{labelformat=empty}
\caption{Fig. 1}
\end{figure}
The points \(A , O\) and \(B\) lie on a straight horizontal track as shown in Figure 1. \(A\) is 20 m from \(O\) and \(B\) is on the other side of \(O\) at a distance \(x \mathrm {~m}\) from \(O\).
At time \(t = 0\), a particle \(P\) starts from rest at \(O\) and moves towards \(B\) with uniform acceleration of \(3 \mathrm {~ms} ^ { - 2 }\). At the same instant, another particle \(Q\), which is at the point \(A\), is moving with a velocity of \(3 \mathrm {~ms} ^ { - 1 }\) in the direction of \(O\) with uniform acceleration of \(4 \mathrm {~ms} ^ { - 2 }\) in the same direction.
Given that the \(Q\) collides with \(P\) at \(B\), find the value of \(x\).