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Originally Posted by Issues
I understand all of those things are important, but first I need to figure out how to calculate it simply right  . Plus do you think experimenting and finding out the average spin of the projectile will help all that much? Won't it vary a lot from launch to launch?
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Come up with some basic aiming equations, and then refine them with experimentation. A look up table might be faster to do (and execute). All you need (for now) is the launch velocity, assume 12 m/s (the max allowed). Camera angle to the target gives distance.
Be sure to impress upon the mechanical design team that variability in the launch velocity is VERY bad, they need to consider that in their design. (I think you will find that the variability is really not much, assuming the system is designed to be stable.)
Now, also remember to consider the added velocity if the robot is moving!!!
Don