The difference △ s between the displacements of an object moving in a straight line at a constant speed in any two consecutive equal times is a measure, and △ s =? Proves that:

The difference △ s between the displacements of an object moving in a straight line at a constant speed in any two consecutive equal times is a measure, and △ s =? Proves that:

Let the initial velocity be V, the acceleration be a, and the time interval be t
In the first t moment: S1 = VT + at ^ 2 / 2
In the second t interval: S2 = (V + at) t + at ^ 2 / 2
Displacement difference △ s = s2-s1 = at ^ 2
(^ for power operation)