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Question 2 (a) Derive the equation of altitude variation of a one-stage sounding rocket. Neglect atmospheric drag and the gravity variation with altitude (but account for the gravity). Consider the thrust and the propellant mass flow rate to be constant. [3 marks] (b) Derive the equation for the maximal altitude that can be achieved by a one-stage sounding rocket in terms of mass ratio, specific impulse, the propellant mass flow rate and the initial rocket mass. Consider the same assumptions as in Q2(a). [3 marks]