A rocket has an initial mass of m and a burn rate of a = -dm/dt
(a) what is the minimum exhaust velocity that will allow the rocket to lift off immediately after firing? Obtain an expression for
(b) the burn-out velocity;
(c) the time the rocket takes to attain the burn-out velocity ignoring g; and
(d) the mass of the rocket as a function of rocket velocity. (10 marks)

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