Designing a MATLAB Lunar Lander: Finding v

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negatifzeo
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Homework Statement


The task is to design a MATLAB program reminiscent of the text-based lunar lander games. Ol, that's not that bad. My problem comes from the research, specifically determining what thrust will be provided from what rate of fuel burned. I know that thrust=(dm/dt)v where v is the relative velocity of the exhaust. I know the max thrust the lunar lander was capable of was 44.4 kN and the min was 4.7 kN. I know the lander had 8165 kg of N204/Aerozine-50 as fuel. Does anyone have any idea what v is or how I can find it?
 
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Several sources specifies the specific impulse to 311 sec which gives an exhaust speed of around 3050 m/s.
 
Thank you so much. Do you think you could post a link to one of these sources? Normally I'm capable when using the google; I don't know why this information has been so difficult for me to find.