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
The magnitude of velocity is given as
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?