Those equations were developed and specified in the Class Notes for 050912. Be sure you review those notes.

The equations are

1. `ds = (v0 + vf) / 2 * `dt

2. vf = v0 + a `dt.

3. `ds = v0 `dt + 1/2 a `dt.

4. vf^2 = v0^2 + 2 a `ds.

The axis of symmetry of y = a t^2 + b t + c is the vertical line x = - b / ( 2 a).