Formulas for motion

Terms

u=IntitialVelocityv=FinalVelocityt=TimeIntervals=Displacementa=Accelerationu=Intitial \; Velocity \newline v= Final\;Velocity \newline t=Time\;Interval \newline s = Displacement \newline a=Acceleration

These are only valid when acceleration is uniform

Equations

1. Final Velocity = Initial Velocity + Acceleration * Time

v=u+atv=u+at

This is pretty simple, you have some initial velocity, and for every second you're increasing the the velocity by the acceleration.

2. Displacement = (Initial Velocity * Time) + Half of (Acceleration * Time squared)

s=ut+12at2s = ut+\frac{1}{2}at^2

Why?

3. Velocity squared - Initial velocity squared = Double of (Acceleration * Displacement)

v2u2=2asv^2-u^2=2as

Again, IDK why