Illustration: A rocket of initial mass m0 (including shell and fuel) is fired vertically at time t = 0. The fuel is consumed at a rate of ‘a = At’ where A = constant, t = time. The gases are exhaust at a constant relative speed of ‘m’ m/s with respect to rocket. In addition to gravity, there is resistance from air which can be assumed to be a constant force of/v:imagedata/v:shape. Find the differential equation velocity of rocket at the time t?