A particle, $$\(P\)$$, of mass $$\(0.5 \mathrm{~kg}\)$$ is moving along the positive $$\(x\)$$-axis. At time $$\(t\)$$ seconds, $$\(t \geqslant 0, P\)$$ is $$\(x\)$$ metres from the origin $$\(O\)$$ and is moving away from $$\(O\)$$ with velocity $$\(v \mathrm{~m} \mathrm{~s}^{-1}\)$$, where $$\(v=\frac{1}{(4 x+3)}\)$$ When $$\(t=0, P\)$$ is at $$\(O\)$$. (a) Find the distance of $$\(P\)$$ from $$\(O\)$$ when $$\(t=2\)$$ (5) (b) Find the magnitude of the resultant force acting on $$\(P\)$$ when $$\(t=2\)$$ (5)

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