Let's say you are traveling on city streets.
A police cruiser notices you are speeding and starts following you from an inconspicuous distance. During the time he follows you, he sees more violations.
Is it legal for a police cruiser to keep following you, and tallying additional citations and fines?
I am wondering specifically whether they could follow you to see if your excess in speed lasts for a distance / time, and further penalize you, but am also interested to learn whether they would tally several distinct citations by following you for a long time.
I am asking specifically of United States law. I am unsure if it would be different for state police and local police.