Find the acceleration calculation formula of dot timer, and the derivation process (I am a senior one)

The clock usually uses 50 Hz, i.e. t = 0.02 s
........
For the above small point, the distance between the second point and the fourth point can be measured with a ruler at the third point (there is a certain distance, and the two points can be clearly distinguished), and the instantaneous velocity V3 of the third point is set as S1 / 2T
Similarly, the fourth instantaneous velocity V4 is obtained
v4=v3+at
Repeat the test and take the average value

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