A spaceship in space sweeps stationary interplanetary dust.

Question:

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

  1. $-\frac{2 b v^{3}}{M(t)}$

  2. $-\frac{b v^{3}}{2 M(t)}$

  3. $-b v^{3}(t)$

  4. $-\frac{b v^{3}}{M(t)}$

Correct Option: , 4

Solution:

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