The velocity, $$\(v \mathrm{~ms}^{-1}\)$$, of a particle moving in a straight line, $$\(t\)$$ seconds after passing through a fixed point $$\(O\)$$, is given by $$\(v=6 \sin 3 t\)$$. (a) Find the time at which the acceleration of the particle is first equal to $$\(-9 \mathrm{~ms}^{-2}\)$$. (b) Find the displacement of the particle from $$\(O\)$$ when $$\(t=5.6\)$$.

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