I am a PhD student in physics in Paris, France. I have solved many similar problems during my studies and can provide both an analytical formula, instructions for numerical evaluation, and graphical plots. Please clarify the units in which the result is required (usually m/s^2 is used, is that ok for you?). If you accept my bid, I'll provide you with a plot, the MatLab source code and a brief documentation within 3 days.
Thank you!