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

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A particle moves along a straight line OX. At a time \( t \) (in seconds) the distance \( x \) (in metres) of the particle from \( \mathrm{O} \) is given by \( x=20+14 \mathrm{t}-\mathrm{t}^{3} \). How long would the particle travel before coming to rest:
a. 53.12 m
b. 36.12 m
c. 45.02 m
d. 40.07 m
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