Constant Acceleration (Variable Velocity)

"Constant Acceleration" is a more sophisticated version of Uniform Motion, since now the velocity abandons the constants gang and joins the variables, so now we have two formulas (which means two different graphs!**): one for the position of the object and another one for its speed. And we also have a new character that joins the constants gang: acceleration.

X(t) = X₀ + V₀·(t - t₀) + 1/2·a·(t - t₀)²
V(t) = V₀ + a·(t - t₀)

Where X₀ is the initial position of the object, V₀ is its initial velocity, a is its acceleration, and t₀ is the initial time.

** Actually, we also have a graph for velocity in Uniform Motion, but here we don't take it into account since the graph of a constant is just a horizontal straight line that doesn't give us much useful information.