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A rocket of initial mass m ( including f...

A rocket of initial mass m ( including fuel) ejects mass at a constant rate of 25 kg/s with a speed 60 m/s relative to the rocket. If the acceleration of the rocket 3.5 minutes after the firing is `2m//s^(2)`. What is the initial mass of the rocket ? [Neglect gravity] Express your answer in unit of `10^(3) kg`

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The correct Answer is:
6
`u_(rel)(dm)/(dt)=(M0-ut) a`
`rArr 60xx25=(M_(0)-25xx3.5xx60) xx2`
`rArr M_(0) =750+5250 =6000 kg `
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