The Mayflower Project (Remnants, #01)

Official Summary:
The end of the world. Not something most people think about. Not something we even expect to ever really happen. But what if you found out an asteroid the size of New Jersey were about to collide with the earth? What would you do? It's the year 2011, and that's the question Jobs is asking himself. The question he asked his family. He certainly didn't expect the answer he got. Didn't expect that in a very short time he and his family would be some of the lucky few selected to board a revamped space shuttle... A shuttle that would leave Earth just before the asteroid destroys it. But there are a couple of catches: The shuttle has no ultimate destination; and all those aboard will be placed in a state of suspended animation---indefinitely. Or at least until the computers find a habitable planet for them to live.

Back-of-Book Summary:
It's 2011. An asteroid is on a collision course with the earth. And eighty people have been given the opportunity to survive. To leave the planet before the world ends.
Jobs isn't quite sure of what's going on. Just that he and his family are a few of the lucky ones chosen to board a revamped space shuttle. A shuttle that will leave Earth just before the final impact. No one knows where they're going. Or if they'll make it there at all. Because there isn't a lot of time for questions. And there are fewer answers. . . .