While trying to help finish the cad. We ran into the issue of wondering if our math is right. And our idea for the angle of our shooter. And the power of the shooter.

Our rough ideas were the ball is releasing at roughly 25 m/s (before accounting for drag, so it would be lower.)

The hood we were trying to design would work up close and adjust to far back.
I am unsure the exact math to design the angle of release. I came up with some number but not sure if they were right or not.

Anyone have any advice for the right equations for the hood angle, and if needed the shooter speed/ball speed?

A lot goes into this and there’s no magical equation to solve your issues. As MrForbes suggests, I would build a prototype shooter. I would use that to figure out how much the ball drops because of spin. Then take that data into CAD and assume that the shooter lasers and add the amount the ball drops.

Like this.
(Fake numbers since I’m not going to whip out a rule book and design a shooter on the spot.)

Without knowing some more, like what your team is capable of, motors available, where your shooting, and more specs on your shooter, I don’t think there’s much more anyone can do to help. Sorry.

Side note: It’s basically week 4. Shooting might just not be a good investment of your teams time rn (again I don’t know how capable your team is).

Ps.ps.
The thread title implies you had more than just m/s. Where are the other numbers?