physics - How do they get to Andromeda so fast?

So this has been bothering me since I saw the teaser trailer yesterday, in the teaser they said it took 600 years to get to Andromeda from Earth. This just sounds WAY too short a period if time. So I did the math and assuming a constant velocity (which would be an underestimate of the max speed) the speed they would be 4219.99 times the speed of light. Which is so far in the impossible I can't even imagine. In the trilogy it's said that man kind can travel 50 times the speed of light. Now either they will have some explanation for this they will state in the game or they really didn't think the physics/astronomy though on this. Thoughts?

For those who care, here's the math Distance to Andromeda from Earth: 2.537 million ly Time: 600 y Assuming constant velocity v= d/t = 2.537 million ly/ 600 y = 4220 ly/y = 1,265,990,486,407.54 m/s = 4219.99c

Presviously stated speed 50c = 14,989,622,900 m/s So the speed to get to Andromeda is 84.399 timed faster than the me3 speed.

I wanted to try and find a more accurate vmax but I instantaneous acceleration is really messing me up. If anyone wanted to do that calculation I'd appreciate the correction.

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