As for the "better, faster, stronger" bit, did you hear the part where they said she does that obstacle course like every day? I think anyone would get amazing at it doing it that often. I don't think they were so much trying to imply that she's some super agent, just that she's driven. As I said above, I get the vibe that because of who she is (and more importantly who her father is), she feels the need to prove herself; that she can be the opposite of who her father was. That's the vibe I got from that scene.