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, mo = the initial mass of the rocket at time t= 0, q = the fuel consumption rate, and g = the downward acceleration of gravity = 9.81 m/s2. If u = 1800 m/s, mo = 160,000 kg, and q = 2600 kg/s, Compute the time at which v= 750 m/s by implementing any efficient bracketing method with initial values of t= 10 and 50 s. Determine your result so that it is within 1% of the true value. (Round the final answer to four decimal places.) The time when v= 750 m/s is t= S.
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, mo = the initial mass of the rocket at time t= 0, q = the fuel consumption rate, and g = the downward acceleration of gravity = 9.81 m/s2. If u = 1800 m/s, mo = 160,000 kg, and q = 2600 kg/s, Compute the time at which v= 750 m/s by implementing any efficient bracketing method with initial values of t= 10 and 50 s. Determine your result so that it is within 1% of the true value. (Round the final answer to four decimal places.) The time when v= 750 m/s is t= S.
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: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, mo = the initial mass of the rocket at time t =
0, q = the fuel consumption rate, and g = the downward acceleration of gravity = 9.81 m/s2. If u = 1800 m/s, mo = 160,000 kg, and q
= 2600 kg/s, Compute the time at which v= 750 m/s by implementing any efficient bracketing method with initial values of t= 10 and
50 s. Determine your result so that it is within 1% of the true value. (Round the final answer to four decimal places.)
The time when v= 750 m/s is t=
S.
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