In a general sense, you can remember (as said above) that acceleration is the slope of the velocity curve. Also, velocity is the slope of the position curve. Derivatives are just slopes. Therefore, if you're having trouble remembering the formulas for each, learn how to take the derivative of a polynomial equation, and the reverse. (It is calculus, but the technique for this particular kind of function is easily learned.) If you know what acceleration is (because of gravity, or some other thing), you will be able to work that back into a velocity function, and then the position vs time graph.
I remember having a lousy teacher for 11th grade physics and going nuts trying to learn these equations for weeks in fall term, only to be surprised by how easily we powered through them in maybe 15 minutes during spring term in calculus.