A satellite moving with velocity $v$ in a force free space collects stationary interplanetary dust at a rate of $\frac{{dM}}{{dt}} = \alpha v$ where $M$ is the mass (of satellite + dust) at that instant . The instantaneous acceleration of the satellite is
A satellite moving with velocity $v$ in a force free space collects stationary interplanetary dust at a rate of $\frac{{dM}}{{dt}} = \alpha v$ where $M$ is the mass (of satellite + dust) at that instant . The instantaneous acceleration of the satellite is
- A
$ - \frac{{\alpha {v^2}}}{{2M}}$
- B
$ - \frac{{\alpha {v^2}}}{{M}}$
- C
$ - \alpha {v^2}$
- D
$ - \frac{{2\alpha {v^2}}}{{M}}$
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