In the first year of physics, the acceleration of the paper tape is calculated by the difference met

It's because your data doesn't have a lot of error. The instantaneous velocity of two adjacent points is the intermediate moment velocity of the two adjacent segments.

Find the acceleration formula: vt 2-vo 2=2as. The difference-by-difference method is a commonly used data processing method to improve the utilization rate of experimental data, reduce the influence of random error, and also reduce the instrument error component in the experiment.

Acceleration is the ratio of the amount of velocity change to the time it takes for this change to occur δv δt, which is a physical quantity that describes how quickly an object's velocity changes.

It is usually denoted by a and the unit is m s2. Side-of-the-line acceleration is a vector quantity, and its direction is the direction of the change in the velocity (quantity) of the object, which is the same as the direction of the resultant external force.

Extended Materials. The difference-by-difference method is a commonly used data processing method to improve the utilization rate of experimental data, reduce the influence of random error, and reduce the instrument error component in the experiment.

The difference-by-difference method is for independent variables.

Isometric change, dependent variable.

When the same amount of change is also made, the result obtained by subtracting the ordered data measured by the transport stall at equal intervals is obtained by taking the average value of the difference. Its advantage is that it makes full use of the measurement data, has the effect of averaging the data, can find errors or data distribution rules in time, and correct or summarize data rules in time. It is also a common method for processing data in physics experiments.

In physics, when the acceleration is solved by using the paper tape, the formula of the main tape copying method only needs to be repeatedly measured by Yinfeng, and then the solution is supervised between two different points on a paper tape.

Explain them one by one! First of all, because of the singular segment, it is impossible to add two by two to find the average, so leave one paragraph, because the beginning and the end are unstable, especially the first section displacement is small, the relative error is large, so the beginning and the end are discarded!

In fact, the difference is to average the acceleration at both ends of a period apart, the reason why it is not directly calculated, is because in this way some data will be approximated during the operation, and the integrity of the data cannot be guaranteed, (you can list the calculation formula, there is a period of displacement will be approximated), as for your last question, it is also the case, the integrity of the data cannot be guaranteed, so do not take the first and last to calculate the acceleration!

By the way, I ask, are you from Mianyang, Sichuan? Because I am, and I just learned this week, and the teacher just talked about the "difference method".

An example of the difference-by-difference method is as follows:

There is a piece of paper tape, we make a mark every 5 points on the paper tape, and a total of 8 line segments are obtained, which are recorded as x1x2x3x4x5x6x7x8, we know that for objects moving in a straight line at uniform speed, there are:

We can use one of the differences in the above equation to calculate the acceleration, but this obviously does not make full use of all the data on the paper tape, and the error is large. The difference-by-difference method is a method that is proposed to make full use of the data on the paper tape.

From the above equation, it can be seen that:

x3-x1=(x3-x2)+(x2-x1)=2at^2

Similarly: x4-x1=3at 2, x5-x1=4at 2

So we can calculate the acceleration using the following formula.

a=〔(x5-x1)+(x6-x2)+(x7-x3)+(x8-x4)]/4*4t^2

This formula is the calculation formula of the difference-by-difference method.

There are some problem holes in the finger tremor mask: only a1=(x4-x1) 3t 2,a2=(x5-x2) 3t 2,a3=(x6-x3) 3t 2

So, taking the average, a=(a1+a2+a3) 3=(x4+x5+x6-x1-x2-x3) 9t 2

That's right, that's how it should be.

a=(x4+x5+x6-x1-x2-x3)/9t^2

It's a bit of a problem, and a lot of data isn't used.

According to the law of linear motion with uniform velocity, the difference between the displacement and the difference in the continuous rolling land in the same time is equal to a*t*t, where a is the acceleration and t is the time interval.

If it is an experimental problem, in order to reduce the error, it is usually found by the difference-by-difference method.

That is: s4-s1=3att

s5-s2=3att

s6-s3=3att

Find the three A's and take the average.

First, mark the point as a, b, c, d, e, ab=x1 bc=x2 cd=x3 de=x4 and the time interval as t

The same goes for vb = (x1+x2) 2t vc = (x2+x3) 2t vd.

If x2-x1=x3-x2=x4-x3, then the paper tape is the ideal paper tape a=(x2-x1) (t*t).

If x2-x1 x3-x2 x4-x3 is not completely equal, then the paper envy search tape is not ideal paper tape a=(x4+x3-x2-x1) (4t*t).

If there is x5 x6 a=(x6+x5+x4-x3-x2-x1) (9t*t)}

VA VE can be obtained by combining VB VD with A.

First Question I hope you are satisfied.