$A$ spaceship in space sweeps stationary interplanetary dust. As a result,its mass increases at a rate $\frac{dM(t)}{dt} = bv^2(t)$,where $v(t)$ is its instantaneous velocity. The instantaneous acceleration of the spaceship is

  • A
    $-\frac{2bv^3}{M(t)}$
  • B
    $-\frac{bv^3}{2M(t)}$
  • C
    $-bv^3(t)$
  • D
    $-\frac{bv^3}{M(t)}$

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