Kinematics has four equations

V = Vo - at                         ; has no position variable
X – Xo = ½ (V – Vo)t          ; has no acceleration variable
X – Xo = ½ (V – Vo)at2      ;  has no velocity variable
V2 = V2o + 2a(X – Xo)       ; has no time variable

Works only if there is uniform equation

V = Velocity
Vo = Final velocity
X = Initial position
Xo = Final position
A = acceleration

The below tells us, how much an object changes from here to there or form V0t to 1/2at2
∆x= V0t + 1/2at2

In real world, we have ‘g’ as gravity for ‘a’
g = 10m/s2 (meters per second square)

V = Vot + at => a = ∆x/∆t         ; Final velocity less initial velocity  is ∆x, divided by  t

V2 = V2o + 2a∆x or v V2 = Vo2 + 2a(x-xo)
Here is a relationship between final velocity, initial velocity, acceleration and the distance travelled ∆x. x-xo is also
displacement or change in position.
Mian Systems LLC
Directional Derivatives (Contd.)
Source: Unknown