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1. You can't use energy and mass and the Kinetic Energy formula to get speed. It's against the rules.Can't we reverse engenier the calc to get how to calc the loss of speed?
2. Even if you could, that would only get the speed of the ball after it passed through the two (very thin) posts. However fast it was going before then would need to be gotten some other way.
3. Again, the loss of energy from passing through the centimeter-thin sticks holding up the targets is going to be negligible, so drop it.