David killed Goliath with a sling and a rock right? Historians describe that sling as two cords with a leather pouch between them. I think they left out a small detail, probably deliberately.
When I was a kid I made one just like that. I tried many times to find a way to launch a rock from that sling with any amount of power. I swung it around my head and yeah you can throw a rock with it but not much harder than you could throw it by hand. Then one day I guess I was 12 or 13 yrs old I was watching a movie on TV. It was set in ancient times when they laid seige to a city and bombarded it with rocks fired from a trebuchet. That was when it dawned on me. No wonder my sling weapon was no good, it was missing a critical part! It should have had a stick like the arm of the trebuchet!! I said holy shit im gonna try that so I ran outside to the tool shed and tied the two cords of my old sling to the end of an old broom handle. I put a rock in the sling and I was holding the broom handle, knew right then, as I could feel the weight hanging off the other end, this was gonna do something. So I let it hang behind me and I swung it over my head and after a few attempts, holy shit. That rock shot out of the sling and across the field behind our house like a fuckin missile!! I was like hot damn!! So I experimented with different lengths of cord on the sling and different kinds of wood for the long handle. I found a slightly flexible wood worked really well if it made it whip a little it added extra power. I was launching rocks about the size of a baseball and they went a hell of a distance. A truly lethal weapon that if you think about it, would have actually been the precurser to the trebuchet not the other way around. Once someone invented the handheld version like I describe here, they just made them bigger and bigger until they ended up with the seige weapon size trebuchet.
Trebuchet: https://www.youtube.com/watch?v=9KCfs2KQKwI
You want to make one? Ok look at this picture of trebuchet https://i.pinimg.com/originals/52/16/4a/52164a7fbba0294f7e8f06769744a045.jpg
You see the arm with the sling attached? Thats the only part you need to make for handheld version. My original one was broom handle arm. Notice one of the sling cords is fixed to the arm. The other sling cord has to slip off as you launch it to release the projectile. I put a smooth headless nail into the end of the broom handle for that purpose. Make a loop in the end of the sling cord, put it over the nail. You can bend the nail until the sling cord slips off at the right moment to get the best trajectory.