> - What temperature would the surface be? 

Cold, really really cold, imagine the coldest winter you can remember, it's going to be colder than that, a lot colder, honestly it's going to be really cold, so cold you can't imagine how cold it's going to be.

Lets just say extra socks & a bobble hat aren't going to be much help.

> - How quickly would it drop year to year? 

Year by year? it wouldn't even take one year, assuming you start by moving away from the sun you'll be in a new ice age colder than any before it long before you get half way to the orbit of Mars.

> - Would the atmosphere freeze, and if so, what would it look like? 

Yes, it'll look like ice, what else would it look like.

> - What would happen to cities, trees, the ocean, etc?

They'll all freeze.

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Any other questions?

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The only place you've any real possibility of life persisting for a bit is going to be in close proximity to an active geothermal of some sort. Yellowstone for instance might provide a haven for a few humans for a bit longer than elsewhere on the planet.