A satellite in force-free space sweeps stationary interplanetary dust at a rate dM/dt = av where M is the mass, v is the velocity of the satellite and a is a constant. What is the deceleration of the satellite

Q: A satellite in force-free space sweeps stationary interplanetary dust at a rate dM/dt = av where M is the mass, v is the velocity of the satellite and a is a constant. What is the deceleration of the satellite

(a) – 2av²/M

(b) – av²/M

(c) + 2av²/M

(d) – av²

Ans: (b)