(a) A rocket set for vertical firing weighs `50kg` and contains `450kg` of fuel. It can have a maximum exhaust velocity of `2km//s`. What should be its minimum rate of fuel consumption
(i) to just lift off the launching pad?
(ii) to give it an initial acceleration of `20m//s^2`?
(b) What will be the speed of the rocket when the rate of consumption of fuel is `10kg//s` after whole of the fuel is consumed? (Take `g=9.8m//s^2`)