The velocity of an upward rocket is given by, v(t) =u ln - gt, ib – °u 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). (i) Identify a suitable time interval between 6.8 seconds to 7.1 seconds that has b-al = 0.1 using intermediate value theorem, so that the rocket able to reach a velocity of 150 m/s. (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 f(t) < ɛ = 0.0005 or 4th iteration.

The velocity of an upward rocket is given by, v(t) =u ln - gt, ib – °u 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). (i) Identify a suitable time interval between 6.8 seconds to 7.1 seconds that has b-al = 0.1 using intermediate value theorem, so that the rocket able to reach a velocity of 150 m/s. (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 f(t) < ɛ = 0.0005 or 4th iteration.