# [SOLVED] Rocket Science

by TheShapeOfTime
Tags: rocket, science, solved
 P: n/a "Calculate the speed acquired by a rocket whose mass varies as it burns up fuel." Is there any way I could make up a semi-realistic problem relating to the above quote and solve it with logarithms?
 P: 151 $$F=ma$$ $$F=m\frac {dv}{dt}$$ $$\frac {F}{m} = \frac {dv}{dt}$$ $$\int \frac {F}{m}dt = \int \frac {dv}{dt}$$ $$v=\int \frac {F(t)}{m(t)}dt$$ Not sure if that answers your question
 P: n/a I'm only in grade 11 and haven't done any calculus. Is there any way to make any sort of problem for this that only includes Logarithms?
P: 68

## [SOLVED] Rocket Science

 Quote by mathlete $$F=ma$$ $$F=m\frac {dv}{dt}$$ $$\frac {F}{m} = \frac {dv}{dt}$$ $$\int \frac {F}{m}dt = \int \frac {dv}{dt}$$ $$v=\int \frac {F(t)}{m(t)}dt$$ Not sure if that answers your question
Isn't force the derivative of momentum such that you would have to include the $v\frac{dm}{dt}$ term as well?

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