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
[CBSE PMT (Pre.) 2012]
(a) \( 24 \mathrm{~ms}^{-2} \)
(b) Zero
(c) \( 6 \mathrm{~ms}^{-2} \)
(d) \( 12 m \mathrm{~s}^{-2} \)
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