The upward velocity of a rocket can be computed by the following formula: mo v = u • In| gt qt, 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/s²). If u = 2000 m/s, mo = whole 6-digit of matric number in kg, and q = 2765 kg/s, compute the time at which v = 700 m/s. Example, student with matric number DD190022 will have the value of mo = 190022 kg. (a) 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: mo v = u • In| gt qt, 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/s²). If u = 2000 m/s, mo = whole 6-digit of matric number in kg, and q = 2765 kg/s, compute the time at which v = 700 m/s. Example, student with matric number DD190022 will have the value of mo = 190022 kg. (a) 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)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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please answer quickly and follow the instruction.
use: Mo= 200210 kg
THANKS
Transcribed Image Text:Q5 The upward velocity of a rocket can be computed by the following formula:
mo
v = u * I (
- gt
\mo – qt,
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/s²).
If u = 2000 m/s, mo = whole 6-digit of matric number in kg, and q = 2765 kg/s, compute the
time at which v = 700 m/s. Example, student with matric number DD190022 will have the
value of mo = 190022 kg.
(a) 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)
(b)
Discuss the differences of the answers from (a).
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