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Q3 (a) The velocity of an upward rocket is given by, Note: id=0.2222 v(t) = u In mo 1 - gt. m - gt 0 . where mo is the initial mass of a rocket at t=0s, q is the rate at which fuel is expelled (kg/s) and u is the velocity at which is being expelled (m/s). Given the initial mass of the rocket is 90,000 kg, the rocket expels fuel at a velocity of 1300 m/s, at consumption rate of 2000 kg/s and g=9.8067 (m/s). (1) dentify a suitable time interval between 6.8 seconds to 7.1 seconds that has b-a =0.1 using intermediate value theorem, so that the rocket able to reach a locity of 150 m/s. (3 marks) (ii) amine the time needed for the rocket to reach a velocity about 150 m/s by using section method with the suitable interval found in Q3(a)(i) and iterate until f(t) <ε = 0.0005 or 4th iteration.
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