GATE AE 2023 AE Q38: Rockets

Two missiles A and B powered by solid rocket motors have identical specific impulse, liftoff mass of 560 kg each, and burn durations of

s and

s, respectively. The propellant mass flow rates,

and

, for missiles A and B, respectively, are given by

Neglecting gravity and aerodynamic forces, the relationship between the final velocities

and

of missiles A and B, respectively, is given by

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