Q.13 The upward velocity of a rocket can be computed by the following formula: v=uln- mo mo + qt -gt where v = upward velocity, u = the velocity at which fuel is expelled relative to the rocket, m, = 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-150,000 kg, and q=2700 kg/s, compute the time at which v=750 m/s use the Newton-Raphson method within approximate relative error 2%. (Hint: t is somewhere between 10 and 50 sec.)
Q.13 The upward velocity of a rocket can be computed by the following formula: v=uln- mo mo + qt -gt where v = upward velocity, u = the velocity at which fuel is expelled relative to the rocket, m, = 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-150,000 kg, and q=2700 kg/s, compute the time at which v=750 m/s use the Newton-Raphson method within approximate relative error 2%. (Hint: t is somewhere between 10 and 50 sec.)
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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Transcribed Image Text:Q.13 The upward velocity of a rocket can be computed by the following formula:
mo
v=uln-
gt
mo + qt
where v = upward velocity, u = the velocity at which fuel is expelled relative
to the rocket, m, = 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-150,000 kg, and q-2700 kg/s, compute the time at which
v=750 m/s use the Newton-Raphson method within approximate relative error 2%.
(Hint: t is somewhere between 10 and 50 sec.)
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