The position $x$ of a particle varies with time as $x = at^2 - bt^3$,where $a$ and $b$ are constants. The acceleration of the particle will be zero at:

  • A
    $\frac{2a}{3b}$
  • B
    $\frac{a}{b}$
  • C
    $\frac{a}{3b}$
  • D
    zero

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