It sounds like your cat may have a problem called vestibular syndrome. This is an inner ear problem is is similar to motion sickness in humans. This will usually resolve on it's own in 3 or 4 weeks, but will occasionally respond to antibiotic therapy. You probably should take your cat into the vet to confirm a diagnosis and treatment. Please let me know if I can help further.
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Lori McLaughlin
Your veterinarian should ALWAYS be consulted first and foremost when your pet's welfare is at stake.