A particle $$\(P\)$$ moves in a straight line, starting from a point $$\(O\)$$ with velocity $$\(1.72 \mathrm{~m} \mathrm{~s}^{-1}\)$$. The acceleration $$\(a \mathrm{~m} \mathrm{~s}^{-2}\)$$ of the particle, $$\(t\)$$ s after leaving $$\(O\)$$, is given by $$\(a=0.1 t^{\frac{3}{2}}\)$$. Find the value of $$\(t\)$$ when the velocity of $$\(P\)$$ is $$\(3 \mathrm{~m} \mathrm{~s}^{-1}\)$$. ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................

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