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I want to write code for a 2D trampoline simulation and try to understand the physics behind it.

After a lot of googling, I think I understand the whole stuff regarding potential/kinetic energy etc.

However, every explanation I found makes the simplifying assumption that the trampoline can be modeled by a spring and that a jumper lands exactly on the center of the trampoline.

However, how can I model that an object does not land exactly on the center? For example, I would expect that if a ball lands on the left of a trampoline, the force that bounces it back is directed to the right with another amplitude then it would be the case if the ball landed in the center.

I relly hope you can help me with this and provide me with some clarifying formulas or links.

Thanks in advance

Sven