2 people (P1 and P2) are 10 light seconds apart playing catch. P1 throws the ball at twice the speed of light. We'll say that the time scale for this experiment is T(x) where x is the time in seconds after the ball is thrown. Therefore the moment of release is T(0). Simple math says that P2 will catch the ball at T(5). What would P2 see?

Since he is 10 light seconds away, P2 would not see P1 throw the ball until T(10) a good 5 seconds after P2 has already caught the ball. So what would the ball traveling at twice the speed of light look like to the person catching the ball?

The ball would appear instantaneously as it is caught at T(5), it would then appear as though the ball is traveling backwards towards P1 who would be seen going through his windup at this point. At T(10) P2 would see P1 complete his windup and release the ball while at the same time the image of the ball traveling backwards would converge at P1's hand and disappear.

Kind of Wacky, eh?