A spaceship in space sweeps stationary interplanetary dust. As a result, its mass increases at a rate d M ( t ) d t = b v 2 ( t ) , where v ( t ) is its instantaneous velocity. The instantaneous acceleration of the satellite is:

Question

A spaceship in space sweeps stationary interplanetary dust. As a result, its mass increases at a rate d M ( t ) d t = b v 2 ( t ) , where v ( t ) is its instantaneous velocity. The instantaneous acceleration of the satellite is:, - b v 3 ( t ), - b v 3 M ( t ), - 2 b v 3 M ( t ), - b v 3 2 M ( t )

MARKS App · Accepted Answer

dM ( t ) dt = - bv 2 in free space no external force so there in only thrust force on rocket f i n = d M d t V r e l M a = - b v 2 ( t ) v a = - bv 3 M ( t )

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