# A question for a brainiac

#### mickle

##### innit
If my spaceship accelerates at a constant rate of 1G how long will it take to reach the speed of light and how far will i have travelled in that time.

OP

#### mickle

##### innit
If my spaceship accelerates at a constant rate of 1G how long will it take to reach the speed of light and how far will i have travelled in that time.

#### Norm

##### Guest
Can you confirm that you mean 'how far' and 'how long' as measured by the observer because I'm not sure I'm up to incorporating relativity into the calculations.

#### Red Light

##### Guest
Approx. 1G is about 10m/s per second. The speed of light is 300,000,000m/s. Therefore it will take 300,000,000/10 or 30 million seconds to get to the speed of light. Which equates to about 350 days or one year. Since the acceleration is constant from zero to the speed of light the distance travelled in a year will be about half a light year. More precisely the distance travelled is s=0.5a.t². a= 10m/s², t=30,000,000 so s=4.5.10¹⁵m or just under half a light year as expected.

#### potsy

##### Birder
If my spaceship accelerates at a constant rate of 1G how long will it take to reach the speed of light and how far will i have travelled in that time.
Didn't even know you had a spaceship

#### palinurus

##### Legendary Member
I'm not exactly a brainiac but remembering a bit of school physics- I can remember equations of motion at least- I make it a few days short of a year. There's probably all sorts of relativistic shoot that says my answer is bollocks though.

Oh, you want distance too. Hang on...

#### Pat "5mph"

##### A kilogrammicaly challenged woman
Moderator
What's a 1G ... what's the speed of light ... what are we ... where are we ...

#### palinurus

##### Legendary Member
What units do you want it in? I make it 0.49 light years.

Do I have to show my working?

#### Red Light

##### Guest
As per my post in the other thread, just under a year and just under half a light year.

#### palinurus

##### Legendary Member
A few days short of a year being 354 days. You can get a pretty long way in a year, assuming my calculation isn't wildly off. You'd need plenty fuel, I don't intend to calculate how much.

#### threebikesmcginty

##### Corn Fed Hick...
That other thread is much more interesting, this one's sh!te.

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