RelativelyAwesome

I have a question about relativistic speed and the math behind it. I was wondering: If I were traveling at 10% the speed of light (about 18,600mps by my estimates) exactly how long would it take to reach our nearest star at Proxima Centuri. I figured around 42 years, but I would love to know the exact equation that would be used in this instance. I don't know if anyone here would know, but its just a bit of fun for me to try and figure these kinds of things out.

Thank you, to all. Glad to be here.

Thank you very much. Great avatar BTW.

Just wanted to introduce myself. I'm obviously new to the site, but I'm a huge follower of Astronomy and Physics. I'm an avid reader of any and all material related to these fields. I guess I should thank Carl Sagan for his series "Cosmos" for peaking my interest in these areas. I'm sure many others here could likely make that statement. I've recently decided to go even farther, and enrolled in some free courses to increase my knowledge. I know the theories behind why most of the phenomena in our universe work, but I want to know HOW they work on a scientific and mathematical level, as well.

If space itself is always expanding, even a single particle would be in motion. You'd just be without a way to measure the motion/speed with no other particles to use as a frame of reference. Like the falling tree in the forest without anyone to hear it.

I believe this is one of the predictions that comes out of M-Theory, no?

Truth is, we'll never know what's beyond our own light horizon. The universe could theoretically be infinite. We'll never be able to know based on what we are able to see. Light travels at a finite speed. Space itself is able to expand faster than light. Given the speed at light reaches us, we will only be able to see what comes our way at that speed. Thus, the light horizon is the boundary we will never see past. That doesn't mean there isn't anything there, just that at that point, space is actually expanding faster than light, so anything in those areas beyond the horizon is forever obscur