The calculation method is:

1, first find the value of Dm-Dn measured each time;

2, and then find the average of eight measurements.

This paper analyzes the paper tape in the experiment of "finding the acceleration of a variable-speed linear moving object" in senior high school physics.

Use the formula △ x = at 2; X3-X 1=X4-X2=Xm-Xm-2 .

When the time interval t is equal, suppose X 1, X2, X3, X4 are measured? Four distances, then the acceleration: a=(X4-X2)+(X3X 1)/2×2T2.

Extended data:

Uncertainty of successive difference method;

Such as Newton's ring experiment.

Where k= 1, 2, 3, 4, 5. * * * Measure the diameters of 10 ring and D 1 ring.

The uncertainty of class a x is

=

, where s is the sample variance.

Class b uncertainty of x is

The class B uncertainty of Newton's ring experiment should be calculated with paired data. In this case, d 10d9 cannot be used to calculate the uncertainty of class B, because d 10 and d5 are paired in the step-by-step method.

Class a uncertainty algorithm is similar.

Class B uncertainty is 0, which is completely different from Newton's ring experiment.

Baidu Encyclopedia-Differential Method