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Yes. If I saw you move past me at the speed of light, and at the same time, you were measuring the speed of light with instruments that you were carrying, you would measure the same speed of light that everybody always does, regardless of whatever speed you were zooming past me. And as you passed by a star or a street light, you would cast just as good a shadow as you ever did. Physics 101, Introduction to Relativity. Wierd stuff.

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Q: If you were moving at the speed of light would you have a shadow?
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If you were moving the speed of light would your shadow do the motion you did seconds ago?

You can't move at the speed of light. Because of the nature of space and time, specifically, time being relative, things get very complicated when you travel near that speed.


Would you have a shadow if you go faster than the speed of light?

No.


Why can satellites not attain the speed of light notwithstanding they are in absolute vacuum?

As the speed of an object approaches the speed of light, its kinetic energy approaches infinity. An object moving at the speed of light would require inifinite kinetic energy.


If you go faster than the speed of light does everything turn dark?

First of all, the conditions you suppose in the question aren't possible. You do not go faster than the speed of light. But to answer the question, I would remind you that one of the most impoortant foundations of the Theory of Relativity is that no matter how an observer is moving, and no matter where the light is coming from, every observer measure the same speed of light. So no matter how you were moving, light from the usual sources would pass by you at the speed of light. (That's the speed you would measure as the light sailed past you.)


If you were in a vehicle moving equivalent to the speed of light in a vacuum and you threw something forward would that something then temporarily be moving faster than the speed of light?

NO! Nothing (according to Einsteinian physics moves faster than light. A vehicle cannot be accelerated to the speed of light nor very close to it but in thought experiments (Einsteins favorites) you can imagine it.Even if you were to have two vehicles moving towards each other (one from the "east" and the other from the "west" in some frame of reference both moving at close to the speed of light relative a "stationary" observer, The relative speeds between the vehicles would not exceed the speed of light.


What would two observers one stationary and one moving each measure for the speed of light?

The two observers would each measure light to be the same. The speed of light is the same for all observers, regardless of their frames of reference.


how would an observer on train a witch is moving at nearly the speed of light view o'clock on train be which is moving at the same speed and in the same direction?

The clock on train B would appear to be the same width and to run at the same rate


Wouldn't an object moving at the speed of light relative to other things in space technically be at rest relative to itself and always allowed to accelerate?

It would be if it wasn't for the fact that time relative the object moving at high speed slows down as you approached the speed of light, and completely stops when you reach it. This is what prevents things from going faster than the speed of light.


If your in a spaceship going 90 percent the speed of light and you shine a flashlight on an onboard vacuum chamber in the same direction that the spaceship is moving how fast is the flashlight light?

I'd imagine it would go the speed of light because time would slow down to make sure the light wouldn't go faster than the speed of light.


What would sounds color be if you could see it?

It depends on the speed it is moving. If the sound is moving away from you at approximate 6.55x10^16 KM/H, it would begin to change red. If moving towards you at the same or proportionally adequate speed, it would begin to blueshift. Instead of trying to accelerate sound to above the speed of light, you should just drop some acid.


What is the best aerodynamic shape for objects that move less than the speed of light?

To move near the speed of light, you would be moving in outer space. In this case, an "aerodynamic shape" is not relevant, since there is no atmosphere.


What would happen if a train were traveling at the speed of light and on top of it was a moving car?

According to Stephen Hawkings (you can watch his study on time travel to answer this question) the speed of light is like the "speed limit" for the universe. Nothing exceeds the speed of light. So if you have a train that's travelling at the speed of light (which is impossible, it can travel close but not exactly at the speed of light), and a car is moving on top of it, isn't that technically breaking the "speed limit" or exceeding the speed of light? That's not possible, instead physics would "autocorrect" that and instead of having the car move fast enough to break the "speed limit", time would be slowed down, meaning the car would be slowed down, just enough so that it doesn't break the speed limit. Simply it means, if you were inside that car, time would be passing really slowly. While a week passes for the person in the car, one hundred years would pass in regular time.