The idea is to have two monostables timers (LM555) for triggering the air cannon.
Timer1 (IC1) is triggered by a switch (S1) to ground. It will start and activate the relay via T1. When timed out its output will go negative triggering the second timer (IC2) which is a non-retriggerable monostable. With its output going high T2 will conduct and pull the collector towards ground, thus disabling IC1 by resetting it until timer2 times out.
The circuit might be triggered upon power up, causing...