The motion of a particle along a straight line is described by equation, \( x=8+12 t-t^{3} \), w...

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The motion of a particle along a straight line is described by equation, \( x=8+12 t-t^{3} \), where \( x \) is in metre and \( t \) in second. The retardation of the particle, when its velocity becomes zero, is
(a) \( 24 \mathrm{~ms}^{-2} \)
(b) zero
(c) \( 6 \mathrm{~ms}^{-2} \)
(d) \( 12 \mathrm{~ms}^{-2} \)
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