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Look at the attached picture, which is taken from my textbook. I don't understand the equation:
v = vex * ln(m0/m(t))
If the rocket looses mass at a constant rate, wouldn't that equation then say, that the acceleration decreases as time goes. Since the curve of ln(>1) flattens out. That doesn't match my intution behind conservation of momentum which says that the lighter you are pushing something away from you, the greather acceleration you will attain.
v = vex * ln(m0/m(t))
If the rocket looses mass at a constant rate, wouldn't that equation then say, that the acceleration decreases as time goes. Since the curve of ln(>1) flattens out. That doesn't match my intution behind conservation of momentum which says that the lighter you are pushing something away from you, the greather acceleration you will attain.