Time proportional to length (at constant speed)
This activity belongs to the GeoGebra book The Domain of the Time.
OPTION 1: WITH A PREDETERMINED PATH
In the first case, we must first calculate the length L of that path. Then, we will divide the speed of the moving point by that length. In this way, the time it will take for the object (moving at a constant speed of 1/L) to complete the path will be proportional to its length. This is what we have done in this activity showing the definition of a radian.
We can observe that the accuracy leaves much to be desired, even though both points are moving at a constant speed.
Author of the activity and GeoGebra construction: Rafael Losada.