A particle moves along a straight line \( O X \). At a time \( t \) (in seconds) the distance \(...

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A particle moves along a straight line \( O X \). At a time \( t \) (in seconds) the distance \( x \) (in metres) of the particle from \( O \) is given by \( x=40+12 t-t^{3} \)
How long would the particle travel before coming to rest
[AFMC 2006; Similar WB-JEE 2012]
(a) \( 24 m \)
(b) \( 40 m \)
(c) \( 56 \mathrm{~m} \)
(d) \( 16 \mathrm{~m} \)
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