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## Easily derive kinematic eqns?

I'm tired of having to look up the kinematic equations every time I need to use them (I tutor lower devision students a lot). Is there an intuitive and memorable way to derive them?
As in, it's easy to derive x=x0+v0t+at2 just by integrating a constant force. Can I get the others without relying on some other equations I will inevitably forget?