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Essentially, I want to create a general equation to find the initial velocity of the ball such that it hits a target (x, y). Include air drag. I understand completely how to find the initial velocity of the ball with no air drag, but once it's added, I'm at a loss. If anyone could give any insight or the equation, that would be great. Variables known: Launch angle Distance to target (x and y) Drag coefficient of the ball

Is there anything else missing? Rudiementary visual explanation of the question

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  • $\begingroup$ A lot of people have wanted this for a long, long time. Mainly artillery officers. As far as I know finding a closed form solution remains an open problem. People use numeric approximations. $\endgroup$ – dmckee --- ex-moderator kitten Jan 7 at 23:34
  • $\begingroup$ @dmckee Good to know that I'm not the only person who can't solve this. How would I go about using a numerical approximation? $\endgroup$ – trumanf_ Jan 7 at 23:39
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    $\begingroup$ Have you done any research? eg en.wikipedia.org/wiki/Projectile_motion $\endgroup$ – sammy gerbil Jan 8 at 0:11