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Originally Posted by davidthefat
For the context of FIRST, I personally think only basic kinematics is required... Unless you are making an arm that will catch the ball mid air.
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I think this is the case for shorter shots. I'm not so sure for longer shots due to the light weight of the ball.
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Originally Posted by SuperNerd256
If you're unsure, go with the simplest, and then physically test it. Math is great, but unless you test it IRL, there can be many variables you're forgetting about.
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I appreciate the input but I actually disagree agree with this suggestion. I know that drag, magnus effect, etc. all have a real world impact. I am unsure if it's significant enough to cause a noticeable impact in practice. I think it would be better to start with the math being as accurate as it can be first rather than over-simplify and be left guessing where the inconsistency came from if it does matter. It's quite easy to compare the complicated math solution against the simple math solution for a sanity check. It's extremely hard to dial in accuracy from an inaccurate starting point while it's quite easy to take something super accurate and make it less so.
Now with that said, this is likely beyond my math/physics skill so it could very easily all become a moot point in the end
-Mike