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A spaceship in space sweeps stationary interplanetary dust. As a result, its mass increases at a rate dM(t)/dt = bv^2(t)

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A spaceship in space sweeps stationary interplanetary dust. As a result, its mass increases at a rate dM(t)/dt = bv2(t), where v(t) is its instantaneous velocity. The instantaneous acceleration of the satellite is:

(1) - bv3/2M(t)

(2) - bv3(t)

(3) -2bv3/(Mt)

(4) - bv3/(Mt)

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(4) - bv3/(Mt)

Explanation:

F = V(dm/dt)

a = F/M = - bv3/(Mt)

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