Analytical Prediction

By Hayden McLeod (hmcleod6)

Short Description of Topic

The Main Idea

Analytical prediction uses a mathematical function that can describe the position or velocity of a system at any given time. In contrast to iterative prediction, this means that there is no need to make multiple calculations at small steps in order to find a solution. However, due to the method of derivation of the velocity, the analytical method is only accurate to a high degree when the force applied to the system is constant. Due to this limitation, the iterative prediction method is much more generally applicable.

A Mathematical Model

Unlike the iterative prediction method which is derived directly from the momentum principle, the formula for analytical prediction is based of the formula for the arithmetic mean.

Where x bar is the average, sigma f x is the sum of all the of the numbers, and sigma f is the total number of terms

Since we only need two values of velocity to calculate the average velocity, the formula, for this purpose, can be simplified.

Insert formula here

A Computational Model

How do we visualize or predict using this topic. Consider embedding some vpython code here Teach hands-on with GlowScript

Examples

Be sure to show all steps in your solution and include diagrams whenever possible

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See also

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External links

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