Physics

Problem

A spaceship in space sweeps stationary interplanetary dust. As a result, its mass increases at a rate

\frac{dM(t)}{dt} = bv^2(t)

, where

v(t)

is its instantaneous velocity. The instantaneous acceleration of the satellite is : [Main Sep. 05, 2020 (II)] (a)

-bv^3(t)

(b)

-\frac{bv^3}{M(t)}

(c)

-\frac{2bv^3}{M(t)}

(d)

-\frac{bv^3}{2M(t)}