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So far what I have is that if there is no damping(friction?) and if the the displacement is "small." I have no idea what "small" means. Can someone elaborate on this?

Keep in mind that this is my first semester in college and that this is my first calculus based physics class, so I don't know too much.

Right now we're on impulse and momentum. So anything beyond that I really don't know the math behind it, but maybe the idea yes. So if you do provide variables that are beyond that, please elaborate.

Thanks