I will abuse of the intelligent people that are answering these questions.

Considering that

1) Everything in the universe is moving in some relative direction and speed.
2) The speed of light is the only thing absolute.
3) That our observation of light movement is distorted by our own relative speed to the light source, and hence, we're not synced (did i get it right?)
4) that gravity acceleration is 1,98... and its propagation speed is around the speed of light.

Here are my questions:

A) is there a way that we can measure the difference between the speed of some object and the speed of a light beam moving in the same direction? or is this out of sync problem impossible to workaround?
B) what is the fastest than two objects have been seen approaching or moving away from one another?
C) is there a limit in acceleration, as it is in velocity?

sorry if its too much, but i didn't want to forget everything that came to my mind as i was writing.

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Only two things are infinite, the universe and human stupidity and I'm not sure about the former.
Albert Einstein