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Team Request Need programmer for 2D Platformer


I'm working on a 2D platformer, I've been able to handle everything on my own however I want to implement vines that you can grab onto and swing from, my problem is that I don't want to use physics as it has some ill effects on the game as a whole. So I'm now stuck.
Here's a simple sketch for example, just a simple vine that the player can stick to and control the movement (back and forth) and jump off.

If someone wouldn't mind taking the time to help me out it would be greatly appreciated and I can move on from this.