Re: [SR] Usefulness of real velocities in accelerated relativistic frames of reference.

On 3/15/2024 10:30 AM, Richard Hachel wrote:

Le 15/03/2024 à 15:11, "Paul B. Andersen" a écrit :

I suppose you are referring to my "false" equations:
Speed:            Vr(t) = a⋅t/√(1+(a⋅t/c)²)
Average speed     Vm(t) = c²⋅(√(1+(a⋅t/c)²)-1)/a⋅t
>
where your "correct" equations are:
Speed:  Vr(t) = a⋅t
Average speed  Vm(t) = a⋅t/2
>
:-D

 The speed of the accelerated mobile or particle
is a function of time.
The more time passes, the greater the speed.
Everyone agrees on that.
Now we have to give the correct equation.
I wrote that the correct equation is:
Vo(Tr)=a.Tr/sqrt(1+(a.Tr)²/c²)
I don't see what your problem is.
Vr(Tr)=a.Tr
Vrm=Vri/2
What do you not understand?
>

You don't explain or even acknowledge the problem with what happens when Tr > c/a. Besides, your statement Vr(Tr)=a*Tr is Newtonian/Galilean physics, not SR.