Having read all the posts here with utmost attention, I regret wasting my time. I have done mechanics at University level and I can tell you that your approach regarding projectiles is fundamentaly flawed. As one attentive poster observed, there are far too many unknowns in the equation, and significant errors.
If you wish to persist with your reasearch, please do so, but my advice (and the advice of many professionals) here is: give in! You are chasing shadows.