Motion in a straight line
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A particle is moving such that its displacement \(x\,cm\) from the origin after \(t\) seconds is given by:
\[x=t^3-2t^2+t+5\]
Find
i) Formulae for its velocity and acceleration
ii) The initial velocity and acceleration
i) \(v==3 t^2-4 t+1\), \(a=6 t-4\)
ii) \(v=1 \mathrm{~cm} / \mathrm{sec}\), \(a=-4 \mathrm{~cm} / \mathrm{sec}\)
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