Hi Player0 -
Here it is. I used a Parametric Curve equation in doing this to avoid matrix math so the curve will not necessarily be as smooth as you might want it to be, the exact equation I based this off is found [here][1]. In this particular example, I set the 3 Interp Points to hard values to begin with along with setting t sub 1 to a hard value of 0.5 (which it should remain). I also have this example set up to move a mesh to a random point between the beginning and end of the curve, but this can easily be changed to a spawn emitter node and function the same. You should be able to develop the moving curve off of this blueprint example as the 3 points should always work in the equation as long as you are setting them to values before you run it. Finally I have a Random variable which is assigned randomly then used to keep the same random value (t) throughout the calculations.
I would love to see you final results when your done -
Eric Ketchum