A particle $$\(P\)$$ moves along a straight line that passes through the fixed point $$\(O\)$$ The displacement, $$\(x\)$$ metres, of $$\(P\)$$ from $$\(O\)$$ at time $$\(t\)$$ seconds, where $$\(t \geqslant 0\)$$, is given by $$\[ x=4 t^{3}-27 t+8 \]$$ The direction of motion of $$\(P\)$$ reverses when $$\(P\)$$ is at the point $$\(A\)$$ on the line. The acceleration of $$\(P\)$$ at the instant when $$\(P\)$$ is at $$\(A\)$$ is $$\(a \mathrm{~m} / \mathrm{s}^{2}\)$$ Find the value of $$\(a\)$$ $$\(a=\)$$

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