A particle $P$ with mass $0.3\,\text{kg}$ is fastened to one end of a light elastic string whose natural length is $0.6\,\text{m}$ and modulus of elasticity is $24\,\text{N}$. The other end of the string is attached to a fixed point $O$. Particle $P$ is released from rest at the point $0.4\,\text{m}$ vertically below $O$.
(i)[5]
Find the maximum speed of $P$.
(ii)[3]
Calculate the maximum distance of $P$ below $O$.
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