spatial speed formula

[Brycesv1]

imagine a spaceship that had an engine that produced a constant 1g of thrust using matter-energy transfer technology (for practically infinite fuel) and you burned half way to your destination, turned around, and decelerated for the other half.

what would be the mathematical formula for finding the speed of your ship at the halfway point?

 

[Krikkit]

General kinematics

[ame="http://en.wikipedia.org/wiki/Equations_of_motion"]Equations of motion - Wikipedia, the free encyclopedia[/ame]

You will either need to know the total distance or the time it took to reach half way.

 

[xlns]

I think this is what you are after.

 

[Shinrar]

Atomic Rocket has a page on this...

Torchships - Atomic Rockets

Seriously, I need to be careful with that website. Every time I open it, I spend HOURS reading stuff on it...

Edit:
Okay, I'm a fool and misread the question. You want speed during the time when you invert, not the amount of burn time required. >.< That being said, once you know the time, you could easily figure out the speed.

 

[Brycesv1]

thanks guys, i was having a great convo with someone about this. amazing what mechwarrior can inspire lol

 

[Cras]

If the acceleration was constant couldn't one make the argument that the speed could also be zero? As long as the windows were closed?