# Rocket Science

1. Nov 7, 2004

### 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?

2. Nov 7, 2004

### mathlete

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

3. Nov 7, 2004

### 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?

4. Nov 7, 2004

### µ³

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