Well, to answer your question as to why you yawn after you woke up...
When you sleep, it goes in cycles, or phases, some phases you are deeper asleep than others. Dreams, however, happen in the deepest phase of sleep, called REM sleep. Or Rapid Eye Movement. As you sleep for longer and longer, the deep phases of your sleep become longer and the light phases of your sleep become shorter.
When you wake up, if it wasn't in one of the one or two lightest phases of sleep, you'll still be tired.
Follow?
Yawning in and of itself, I believe, is a natural reflex you get when your body becomes weary for whatever reason.
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The Jimmy
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