I’m largely with Eric - fast moving (not high pressure) air sounds like a great way to go, and preferably a rapid-fire system.
I see two big problems with rapid marshmallow launching, whether mechanical or air-powered:
- Indexing marshmallows sounds like a recipe for frustration. Because marshmallows compress rather easily, I’m guessing that a largely horizontal, modest speed centripetal indexer would be more successful than the systems we saw for fuel this year.
- How far can you propel a marshmallow, anyway? Marshmallows have rather small density, and negligible flow-through, so the ratio of air friction to momentum is rather high. The air drag around a solid object goes up as the square of the velocity, and it probably rises considerably faster around a flexible marshmallow which may spread out as the air pushes against it. This, in particular, makes me think that having the marshmallow embedded in a stream of fast-moving air would be more successful than a ballistic launch which required the same energy.
I would try a fairly large squirrel cage fan, with the output throttled down to a tube slightly larger than the marshmallows, with an index/loading tube which always has a marshmallow inside to prevent the air stream from splitting.
I’m really dubious on flywheels - marshmallows compress rather in-elastically, which means that the contact force on those flywheels will be reduced, reducing the propelling force which can be generated.
(In case I wasn’t clear enough, I have never done this before, just thinking out loud.)