The position \( x \) of a particle varies with time \( t \) as \( x=a t^{2}-b t^{3} \). The acce...

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The position \( x \) of a particle varies with time \( t \) as \( x=a t^{2}-b t^{3} \). The acceleration of the particle will be zero at time \( t \) equal to
(a) \( \frac{a}{b} \)
(b) \( \frac{2 a}{3 b} \)
(c) \( \frac{a}{3 b} \)
(d) Zero
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