- #1

- 2

- 0

## Homework Statement

I need to determine the magnitude of velocity and acceleration for an aircraft moving away from a fixed position (for example a radar station). I need to calculate the magnitude of velocity and acceleration for each time step.

The following table of information is given

## Homework Equations

The magnitude of velocity is given as

[tex]\sqrt{(\frac{dr}{dt})^2+(r\frac{d\theta}{dt})^2}[/tex]

And acceleration

[tex][\frac{d^2r}{dt^2}-r(\frac{d\theta}{dt})^2]^2+[r\frac{d^2\theta}{dt^2}+2\frac{dr}{dt}\frac{d\theta}{dt}]^2[/tex]

**3.0 Attempt**

I am currently in the process of programming this into FORTRAN to get results but I am struggling to work out how to calculate. I am just hoping someone can point me in the right direction. I know I need to calculate the first and second derivatives but the fact I need to take an angle into account is confusing me somewhat. Also to add, how can I calculate a magnitude of velocity for time 0?