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http://78.media.tumblr.com/836c4d42549707eb1941d6005b6e0d3b/tumblr_ngfqu7zQm61srzrtyo4_250.gif

vs.

http://i.imgur.com/4mulCq1.gif

Starting distance?

50 metres.

Groot swats Falcon like a bug.

Could groot endure gun fire/missiles?

At 50 meters I'm leaning towards Falcon. He flies away and Groot would be able to do nothing then. Falcon can just bomb Groot till he's a pile of twigs. Of course, that's assuming Falcon's weaponry can harm Groot. Groot was pretty durable.