Physics Without Prior Knowledge: Become an Einstein in 7 days by Spahic Benjamin

Author:Spahic, Benjamin [Spahic, Benjamin]
Language: eng
Format: epub
Published: 2021-09-20T16:00:00+00:00

Next, it becomes very mathematical.

We know that acceleration describes the change over time for an arbitrarily small period of time, the span delta becomes a differential (see chapter 3.5).

The same applies to the speed. It is the differential of the distance.

This results in the acceleration being twice the differential of the path.

If we substitute the expression into the above equation, we get

This is a differential equation, since both the differential of the path as well as the path itself is part of the equation. We need a function whose second, temporal change is equal to the function.

The detailed solution of the differential equation will be abbreviated in this book. The solution for the temporal displacement is also the cosine function, which we had already logically deduced earlier

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