A researcher is running a simulation of an upward rocket to study the upward velocity of...

 

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A researcher is running a simulation of an upward rocket to study the upward velocity of the rocket using various fuel consumption rates. The researcher has found that the upward velocity of the rocket can be represented by the following equation, v = uln = mo mo qt - gt 1 where v = upward velocity of the rocket (m/s), u = the velocity at which fuel is expelled relative to the rocket (m/s), mo the initial mass of the rocket (kg), q the fuel consumption rate (kg/s), g = the downward acceleration of gravity (m/s²), and t = time taken by the rocket for the whole motion (s). If u = 2,600 m/s, må = 175,000 kg, q = 2,850 kg/s and g = 9.81 m/s² are the values used by the researcher in one of his simulations, estimate the time, t at which v = 830 m/s using False Position method. It is known that the time, t is somewhere between 15 s and 25 s. Perform THREE (3) iterations only and calculate the approximate percent relative error, al for every iteration. A researcher is running a simulation of an upward rocket to study the upward velocity of the rocket using various fuel consumption rates. The researcher has found that the upward velocity of the rocket can be represented by the following equation, v = uln = mo mo qt - gt 1 where v = upward velocity of the rocket (m/s), u = the velocity at which fuel is expelled relative to the rocket (m/s), mo the initial mass of the rocket (kg), q the fuel consumption rate (kg/s), g = the downward acceleration of gravity (m/s²), and t = time taken by the rocket for the whole motion (s). If u = 2,600 m/s, må = 175,000 kg, q = 2,850 kg/s and g = 9.81 m/s² are the values used by the researcher in one of his simulations, estimate the time, t at which v = 830 m/s using False Position method. It is known that the time, t is somewhere between 15 s and 25 s. Perform THREE (3) iterations only and calculate the approximate percent relative error, al for every iteration.

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