It is proved that the displacement difference of an object moving in a straight line with uniform speed change in any two consecutive equal times is a fixed value

Let the initial velocity of the first stage be V0, the acceleration be a, the time interval (time period) be t, and the initial velocity of the second stage be v1,
The first segment displacement S1 = v0t + 1 / 2at ^ 2
The second segment displacement S2 = v1t + 1 / 2at ^ 2, because V1 = V0 + at
So S2 = (V0 + at) * t + 1 / 2at ^ 2 = v0t + at ^ 2 + 1 / 2at ^ 2
Displacement difference between two sections Δ s = s2-s1 = at ^ 2
It is proved that the displacement difference in any equal time is equal to at ^ 2

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