- A The Velocity Of An Upward Rocket Is Given By V T U In Mo M 91 Gt Where M Is The Initial Mass Of A Rocket At 1 (77.94 KiB) Viewed 73 times
(a) The velocity of an upward rocket is given by, v(t)=u In mo m - 91 ) gt, where m, 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) Identify a suitable time interval between 6.8 seconds to 7.1 seconds that has 16-al = 0.1 using intermediate value theorem, so that the rocket able to reach a velocity of 150 m/s. (3 marks) (ii) Examine the time needed for the rocket to reach a velocity about 150 m/s by using bisection method with the suitable interval found in Q3(a)(i) and iterate until |f0|<E=0.0005 or 4th iteration. (6 marks)