I designed this da Vinci catapult to be used in my engineering classes. It will launch nerf rival balls about 15 feet through the air. Other materials you will need are
Mason line - about 3 feet
super glue to attach things permanently (if your pins don't hold) It is hard to get it dialed in perfectly.
Nerf Rival Projectile unless you want to use the included printed projectile
Bumper - you could 3D print with TPU a piece. I cut a small piece of floor saver for chairs and tables. It had adhesive on the back.
Look at the pictures for assembly and make sure the string is wound the correct direction. I might try and put together an assembly guide or video and link it later.