What are all the formulas relating velocity and acceleration?

The main equations of motion (kinematic equations) for constant acceleration are:

v = u + at

(final velocity from initial velocity and acceleration)

s = ut + ½at²

(displacement from velocity and acceleration)

v² = u² + 2as

(final velocity without time)

s = ½(u + v)t

(displacement from average velocity)

Where: v = final velocity, u = initial velocity, a = acceleration, t = time, s = displacement

Choose the equation based on which variables you know and which you need to find.