question_answer

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 t+ dust) at that instant. The instantaneous acceleration of the satellite is   JEE Main Online Paper (Held On 26-May-2012)  

A) \[-\frac{\alpha {{v}^{2}}}{2M}\]                

B)                        \[-\frac{\alpha {{v}^{2}}}{M}\]

C)                        \[-\alpha {{v}^{2}}\]                       

D)                        \[-\frac{2\alpha {{v}^{2}}}{M}\]