Other expressions for acceleration
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The acceleration of a particle \(P\) moving in a straight line is given by \(\dfrac{{{d^2}x}}{{d{t^2}}} = 3x\left( {x - 2} \right)\) where \(x\) metres is the displacement from the origin \(O\) and \(t\) is the time in seconds. Initially the particle is at \(O\) and its velocity is \({\rm{2}}\sqrt 3 \,\,m{s^{ - 1}}\). The velocity of \(P\) is given by \({{\rm{v}}^2} = \)
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