A particle moves along a straight line. When the particle is \(x\) m from a fixed point \(O\), its velocity, \( v\) m s\(^{-1}\), is given by
\(v=\dfrac{3 x+2}{2 x-1}\), where \(x \geq 1\).
- Find the acceleration of the particle, in m s\(^{-2}\), when \(x=2\). (2 marks)
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- Find the value that the velocity of the particle approaches as \(x\) becomes very large. (1 mark)
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