A double stage rocket has an initial mass `M_(i)`, gas is exhausted front he rocket at a constant rate of dm/dt and with an exhaust velocity u relative to the rocket. When the mass of the rocket reaches the value `mu`, the first stage of mass m of
Which fuel is exhausted is disengaged from the rocket and then the rocket continues to the second stage at teh same rate and exhaust velocity as int eh first stage, until it reaches a mass `M_(f)`
(a). Calculate the rocket velocity at the end of the first stage, given that it is started at rest.
(b). Calculat ethe rocket velocity at the end of the second stage. ltbr. (c). What is the final velocity of a one stage rocket of the same initial `M_(i)` mass and the same amount of fuel ? it is greater or less than final velocity of the double stage rocket?