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Now our approach was to predict the final position where it will land on ground from the points we get from our camera,

So for that we searched for the equations of trajectory considering air drag, sadly we didnt find any, and the on we found had terms initial velocity and initial angle, now our camera gives us readings in around 60 millisecond, so the time between two frames is not that small.

So we want some equations that will take position and time as input,

So can anyone tell me any approach to this problem, we have found equations of trajectory by integrating some differential equations we got after doing free body diagram of shuttlecock, while going up and falling down, I can post them, so you guys might check if my maths is correct, and if I have applied correct mechanics.

Please post your reply, it will be of great help, thanking you in advance..