Quick! Someone help me out here...

Ok... For silly reasons, I'm on the FLAT EARTH forums polishing my debate skills...

I'm actually having some fun... these people are serious nuts... heh. Anyway, This guy posited a 'proof' demonstrating his assertion is that a particle can accelerate forever without exceeding the speed of light. Here is his proof:

Proof. Consider a particle moving along a line so that its speed as measured by observer A at time t is given by v(t) = c-c/t. Initially, the particle is at rest with respect to A. The derivative of v(t) is c/t^2, so the function c-c/t is always increasing, so the particle is always accelerating. However, this function will never be greater than c, since for t>0, 0 < c/t < c. Thus, the particle will never be moving faster than light, but will be accelerating forever.


Here is my reply:

How is observer A relevant at all?

What, you think I'm an idiot? the definitive equasion (t>0, 0 < c/t < c) is not related to the velocity at all. In addition, c/t can't be higher than c unless time is negative.

Nice try, dumbass.


Analysis please. Did I miss something?