Let’s break it down into variables we can measure. First, capture the force output of the jab with a load cell, then record the wrist and elbow angles with a motion sensor while the punch is delivered. Plot force versus angle and look for a peak; that peak angle is your optimal target. If the peak is flat, the jab is less sensitive to angle and you can focus on speed. Keep the dataset clean—use the same hand, same speed, same arm length—otherwise the curve will be noisy. Once you have the curve, you can calculate the derivative to see how sensitive force is to small angle changes; that tells you how precise you need to be. In short: measure, plot, find the maximum, tweak the angle until the curve stabilises. Good luck.

Sounds good. Put the data in a spreadsheet, run a quick regression, and you’ll see the exact angle that gives you the highest force. Then try it on the bag, compare the numbers, and refine. Keep the numbers close together, and the sweet spot will appear. Let's see that curve in action.

Got it. I’ll set up the sheet, run the curve fit, and then hit the bag to test the angle. Let’s fine‑tune until the numbers match up.