Slingshot effect with physics rope?

Hi all,
Newbie here :) I was looking to create a sling shot apparatus and was wondering if using the physics rope engine would be beneficial or overkill (or even possible). I would want the slingshot to be pulled back with the mouse (for now, finger later when made for iOS) and the amount of pullback and the angle would determine its' power and trajectory.

I am not sure how to even create this so any help would be appreciated. I did search the forums for sling shot but I did not understand many of the answers.

Thanks