The upward velocity of a rocket can be computed by the following formula: то v = u * In (- - gt то where: v = upward velocity, u = the velocity at which fuel is expelled relative to the rocket, mo = the initial mass of the rocket at time t= 0, q = the fuel consumption rate, and g= the downward acceleration of gravity (assumed constant = 9.81 m/s?). If u = 2000 m/s, mo=200200, and q = 2765 kg/s, compute the time at which v = 700 m/s. (а) Determine your result so that it is within 1% of the true value using Newton-Raphson and Secant method. All data /values shall be in 4-decimal place. You are allowed to use spreadsheet. (Hint: t is somewhere between 10 and 50 s. Use this value as initial guess)

The upward velocity of a rocket can be computed by the following formula: то v = u * In (- - gt то where: v = upward velocity, u = the velocity at which fuel is expelled relative to the rocket, mo = the initial mass of the rocket at time t= 0, q = the fuel consumption rate, and g= the downward acceleration of gravity (assumed constant = 9.81 m/s?). If u = 2000 m/s, mo=200200, and q = 2765 kg/s, compute the time at which v = 700 m/s. (а) Determine your result so that it is within 1% of the true value using Newton-Raphson and Secant method. All data /values shall be in 4-decimal place. You are allowed to use spreadsheet. (Hint: t is somewhere between 10 and 50 s. Use this value as initial guess)

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter2: Equations And Inequalities

Section2.7: More On Inequalities

Problem 44E

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