[Brent]

Hello?

Velocity(instantaneous) = C(1-e^-t/T)

Does this equation work?
Did I re-invent something again?

I am not sure how to verify this equation works. As far as I can tell, I need to calculate the velocity relative to an observer using the Lorenz transformation.

S coordinates are t,x,y,z
S' coordinates are t',x',y',z'

Lorenz transformation specifies
t'= Y(t-vx/c^2)
x'= Y(x-vt)
y'=y
z'=z
Y= 1/square root of 1-v^2/c^2

I am not sure what to do from here and I wouldn't be sure of my answer anyway.

Anybody else care to take a stab at it?

So, if I accelerated at a known rate for a given number of seconds (enough to reach a relativistic velocity), what would be my velocity relative to space by my equation? What would my velocity be relative to an observer considered at rest?