[SOLVED] Rocket Science

TheShapeOfTime

"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?

mathlete

[tex]F=ma[/tex]
[tex]F=m\frac {dv}{dt}[/tex]
[tex]\frac {F}{m} = \frac {dv}{dt}[/tex]
[tex]\int \frac {F}{m}dt = \int \frac {dv}{dt}[/tex]
[tex]v=\int \frac {F(t)}{m(t)}dt[/tex]
Not sure if that answers your question

TheShapeOfTime

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?

µ³

Quote by mathlete

[tex]F=ma[/tex]
[tex]F=m\frac {dv}{dt}[/tex]
[tex]\frac {F}{m} = \frac {dv}{dt}[/tex]
[tex]\int \frac {F}{m}dt = \int \frac {dv}{dt}[/tex]
[tex]v=\int \frac {F(t)}{m(t)}dt[/tex]
Not sure if that answers your question

Isn't force the derivative of momentum such that you would have to include the [itex]v\frac{dm}{dt}[/itex] term as well?

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TheShapeOfTime	[SOLVED] Rocket Science Tweet "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?

mathlete	[tex]F=ma[/tex] [tex]F=m\frac {dv}{dt}[/tex] [tex]\frac {F}{m} = \frac {dv}{dt}[/tex] [tex]\int \frac {F}{m}dt = \int \frac {dv}{dt}[/tex] [tex]v=\int \frac {F(t)}{m(t)}dt[/tex] Not sure if that answers your question