A fundamental principle of physics, "the principle of relativity", says that if you are inside a closed room (spaceship) traveling at constant velocity, then it is impossible to tell from inside the room what what the room's velocity is. This applies to any velocity, including near to the speed of light. If you cannot see outside the room then you cannot know. When moving at constant velocity the laws of physics remain the same, for any velocity.
You are aware of this already, as you are on the surface of a rotating earth, which is moving through the galaxy at some considerable speed, in a galaxy that is moving through the universe also at some considerable speed. If you are indoors with the windows closed you really cannot know or tell how fast you may be moving.