How to approach implementing projectiles like a rocket being shot by a rocket launcher?

I'm looking at implementing a feature that provides the illusion of instant response to user interaction. For example, if a player fires a projectile like a rocket launcher, the lag between user input and system response makes this a bit of a problem. What's the best way to approach this situation?

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  • @Zergleb Thanks for your response, it sounds like a good, practical approach to me.