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Police chased a quad bike for five miles after the driver reportedly failed to pull over.
Officers were called at 9.18pm on Sunday to a report of a man on an off-road vehicle acting suspiciously on the A249, in Sheerness.
Patrolling officers found the driver and asked for him to stop, but he did not.
After a short pursuit, he was brought to a controlled stop on Old Ferry Road, Iwade.
A 29-year-old man from Sheerness was arrested on suspicion of dangerous driving, failing to stop and driving without insurance.
He has been released on bail until March 3 while officers make further inquiries.