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Q.

A spaceship in space sweeps stationary interplanetary dust. As a result, its mass increases at a rate dMtdt=bυ2t , where υt  is its instantaneous velocity. The instantaneous acceleration of the satellite is:

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a

−2bυ3Mt

b

−bυ3t

c

−bυ32Mt

d

−bυ3Mt

answer is D.

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Detailed Solution

Thrust force = F=vdMdt​here thrust force is decreasing the speed​⇒Mdvdt=−vbv2​⇒dvdt=−bv3Mt
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