A satellite in force free space sweeps stationary interplanetary dust at a rate of $\frac{d M}{d t}=\alpha v$ where $M$ is mass and $v$ is the speed of satellite and $\alpha$ is a constant. The acceleration of satellite is
A satellite in force free space sweeps stationary interplanetary dust at a rate of $\frac{d M}{d t}=\alpha v$ where $M$ is mass and $v$ is the speed of satellite and $\alpha$ is a constant. The acceleration of satellite is
- A
$\frac{-\alpha v^{2}}{M}$
- B
$-\alpha v^{2}$
- C
$\frac{-2 \alpha v^{2}}{M}$
- D
$\frac{-\alpha v^{2}}{2 M}$
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