An insect is moving on a groove whose displacement is given as \( x=6 t^{2}-8+40 \cos \pi t \), ...

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An insect is moving on a groove whose displacement is given as \( x=6 t^{2}-8+40 \cos \pi t \), where \( x \) and \( t \) are expressed in metres and seconds. Find the position, velocity and acceleration of insect at time \( t=6 \mathrm{~s} \).
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