Can Logarithms Solve a Rocket Science Problem?

[TheShapeOfTime]

[SOLVED] Rocket Science

"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]

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

 

[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]

$$F=ma$$
$$F=m\frac {dv}{dt}$$
$$\frac {F}{m} = \frac {dv}{dt}$$
$$\int \frac {F}{m}dt = \int \frac {dv}{dt}$$
$$v=\int \frac {F(t)}{m(t)}dt$$
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?