groggy

adj. unsteady, off-balance; dazed, befuddled, drowsy; drunk (Archaic)

Sleep inertia is a physiological state characterised by a decline in motor dexterity and a subjective feeling of grogginess, immediately following an abrupt awakening from deep sleep. Sleep inertia can also refer to the tendency of a person to want to return to sleeping, even after suitable rest has been achieved. Typically, sleep inertia lasts between 15 and 20 minutes for a night wake up and 5-10 minutes for a day wake up. If the subject is awakened due to a perceived danger, however, the duration of sleep inertia is reduced to only a few seconds.
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Adjective
1. stunned or confused and slow to react (as from blows or drunkenness or exhaustion)
(synonym) dazed, foggy, logy, stuporous
(similar) lethargic, unergetic

adj. groggy, stunned

adj. shocked; groggy, off-balance