Boomerang / Frisbee trajectory visualization and control

Hi,
I need to develop a Boomerang / Frisbee trajectory visualization and control it with touch for 3D mobile game just like this one:

But I have no idea how to get started, any suggestions on how to achieve this effect.
Thank you.

Your good starting point, may be a Bezier spline. If you search forum, there is even open source project available.
In fact, here is a link.

This is definitely a spline. It is not necessarily a Bezier spline, and could be a Camull Rom one, but bezier would give you a better trajectory control.

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I would say this are multiple splines connected with flipped control points at connection (for smooth joining).

That’s what Bezier spline does.

Bezier in blender:

Control poitns off:
6721150--773161--upload_2021-1-13_19-40-8.png
Control points on:
6721150--773164--upload_2021-1-13_19-40-26.png

I would start with DOTween.