A rocket with an initial mass of 1000 kg is launched vertically upwards from rest under gravity. The rocket burns the fuel ….

Q: A rocket with an initial mass of 1000 kg is launched vertically upwards from rest under gravity. The rocket burns the fuel at the rate of 10 kg/s . Then burnt matter is ejected vertically downwards with a speed of 2000 m/s relative to the rocket. If burning is complete after 1 min, find the maximum velocity of rocket. (Give, g = 10 ms-2 and in 2.5 = 0.916)

(a) 1232 ms-1

(b) 1000 ms-1

(c) 1423 ms-1

(d) 1523 ms-1

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Ans: (a)