It didn't say it had to be an elastic potential energy system. Just get an industrial servo motor, an industrial servo drive amplifier, and hook it up to an arm with a basket at the end. Assuming you can come up with some really stable way to mount it (bolted down to the concrete?) you can have very accurate motion control and with some calibration before hand you should be able to hit specific distances no problem. You could even manually adjust lateral positioning, like axis aligned rifle scope sighted to target or something, then lock it down.