A researcher is nunning 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, ma v= u VEu In - gt Ama-qt where vupward velocity of the rocket (m/s), u- the velocity at which fuel is expelled relative to the rocket (m/s), m- the initial mass of the rocket (kg), q - the fuel cons umption rate (kg/s), g- the downward accelemtion of gravity (m/s'), and t=time taken by the rocket for the whole motion (s). If u 1,500 m/s, m,-125,000 kg, q= 2,300 kg/s and g-9.81 m/s are the values used by the researcher in one of his simulations, estimate the time, t at which v= 680 m/s using False Position method, It is known that the time, t is somewhere between 15 s and 35 s. Perform THREE (3) iterations only and calculate the approximate percent relative error, leal for every iteration.

Calculus: Early Transcendentals
8th Edition
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Author:James Stewart
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Chapter1: Functions And Models
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Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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A researcher is nuning 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,
mo
v = u In
gt
Amo-qt.
where v=upward velocity of the rocket (m/s), u= the velocity at which fuel is expelled relative
to the rocket (m/s), m, = the initial mass of the rocket (kg), q = the fuel consumption rate
(kg/s), g = the downward accelemation of gravity (m/s), and t = time taken by the rocket for
the whole motion (s). If u = 1,500 m/s, m, = 125,000 kg, q = 2,300 kg/s and g= 9.81 m/s are
the values used by the researcher in one of his simulations, estimate the time, t at which v =
680 m/s using False Position method. It is known that the time, t is somewhere between 15 s
and 35 s. Perform THREE (3) iterations only and calculate the approximate percent relative
error, Ea| for every iteration.
Transcribed Image Text:A researcher is nuning 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, mo v = u In gt Amo-qt. where v=upward velocity of the rocket (m/s), u= the velocity at which fuel is expelled relative to the rocket (m/s), m, = the initial mass of the rocket (kg), q = the fuel consumption rate (kg/s), g = the downward accelemation of gravity (m/s), and t = time taken by the rocket for the whole motion (s). If u = 1,500 m/s, m, = 125,000 kg, q = 2,300 kg/s and g= 9.81 m/s are the values used by the researcher in one of his simulations, estimate the time, t at which v = 680 m/s using False Position method. It is known that the time, t is somewhere between 15 s and 35 s. Perform THREE (3) iterations only and calculate the approximate percent relative error, Ea| for every iteration.
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