Zeno's Paradox Applied to Physics: Can Object B Catch Up?

[tortoiseftw]

Ok, so I have been looking at Zeno's Paradox and it occurred to me that it could possibly be applied in physics.

The way i worked it out is like so:

If an object A is traveling at half the speed of light is given a head start in a race vs an object B that is traveling at exactly the speed of light, B will always remain behind A, never being able to catch up or pass object A even though B is going faster. This seems true because from the perspective of B, time is non-existent. So when measuring the distance in the race from the perspective of B, distance covered would be measured in intervals, not time units. At the same time however, if the race is measured from the perspective of A, object A would see B pass it rather quickly because time does exist in the perspective of object A.

So i just wanted to know if anybody thinks this a valid observation? Is it possible that B will pass A, from A's perspective, while simultaneously never being able to pass A from B's own perspective?

 

[tortoiseftw]

Here's Zeno's Paradox for those unfamiliar with it.

http://www.suitcaseofdreams.net/Paradox_Achilles.htm

 

[Dale]

Zeno's paradox has been resolved for centuries now. Adding unphysical observers moving at the speed of light makes it even less relevant to physics, not more relevant.