i would just like to point out (and correct me if im wrong) that it is first of all impossible to go the speed of light. i know this has been previously mentioned but i felt like reiterating the fact. and also that the speed of light is the fastest you can go. you cant go faster then the speed of light because light has no mass and therefore is going the fastest as is possible. so therefore when you turn on the headlights while going the speed of light, which is impossible anyways, the light would not shoot out ahead of you it would simply keep pace with you. i anxiously await your rebuttal
You're wrong, that was me correcting you.
The first thing I need to point out is that there are several unique circumstances under which things (information, particles, and light) can travel faster then light, or, perhaps if we're not quite right about things, then at least they seem to. However, at at deeper level, apparently you don't quite grasp what the 'relativity' part of general relativity is all about.
When you state that it is impossible to travel at the speed of light, how do you know if you have? You presumably measure by traveling to a star, but how do you know the star isn't moving? In fact, Hubble's law states that every star in the sky has a recessional velocity. So when you reach your star and check your watch, do you know that you were moving that fast, or might the star have been moving at a rate unequal to that which you thought?
Imagine you are driving in your car at what you think is 55km/h. Now if we want to know how fast you are actually moving we need to know if you are driving east or west, because the earth rotates at a speed of about 1,609km/h which must be accounted for, so your speed is actually 55+/-1,609km/h. But wait, there's more! Now you must ask whether it is day or night, because the earth is flying around the sun at a rate of about 108,000km/h. So your actual speed is 55km/h +/- 1,609km/h +/- 108,000km/h. But we're not done yet, because our solar system is swinging around the galactic center, and our galaxy is speeding away from the point of the big bang. And we cannot discount the possibility of motions other then this we have no way to measure. This is the heart of relativity; there is no fixed place to measure from, so the only metric that has any use is the relative speed between two objects (like your car and the road), not the absolute speed, which is impossible to know, and difficult to guess at.
The speed of light is a constant (in vacuum)
relative to
all observers. Therefore, if traveling at the speed of light in your car, you and your headlights are at rest *relative to each other*. This means that when you turn your headlights on, the light
must shoot out from your car at the speed of light *relative to you*. It is true that to an independent observer not traveling with you, the headlights would seem NOT to emit from the car, because relative to
them you are both traveling at an equal rate.