Why do we feel sleepy, tired, and feel like we need to sleep more when we wake up? (Like, is there a special chemical in the brain that causes that?).
Are there any ways to wake up without feeling such things?
Yes, what you mentioned in your question is a common problem for many of us. I did a Google search and here's what I found:
The site webMD offers a nice guideline:
Also, there is a hormone, melatonin, secreted by the pineal gland in brain, which regulates the 24 hour sleep wake cycle.