8.2.MAXIMUM INSTANTANEOUS SPEED
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But we've defined the minimum @ time unit, as the shortest intervals that separates two decisions and &=0
Let's suppose that a decision is made and after a T time the next one is made. That T time will always be
Where T' is the waiting time and where @ is a constant.
If Dt goes to zero, time will always be the sum of T'+@ where only T' can goes to zero and alpha is a constant. Therefore it's the minimum possible value will always be @. And during @ at most one decision can be made.
So the highest possible value of the speed will always be 1/@, constant that we will call k.
As a matter of fact, what this means is that the way of approaching the study of a body's motion is going to depend on its speed. When the speed is slow enough to leave it aside in comparison to 1/@ they will appear some specific types of behaviour and when the speed is near 1/@, the real equations will come out.