Mr A'Court appeared in the Napier District Court last week on charges of reckless driving, failing to stop for police in relation to another incident and breaching community work.
He was sentenced to 300 hours' community work and disqualified from driving for nine months.
Mr Brown said the conviction was "a stark reminder" that bragging on social media could result in criminal charges.
Mr A'Court was not visible in the video, but police investigating the incident were able to identify the car used and Mr A'Court as the driver.
They were also able to ascertain where and when the driving took place.
Mr A'Court's driving was "particularly stupid and dangerous", and had put a number of people at serious risk.
"While some people take great delight in posting all sorts of illegal activity online, in reality what may seem like fun at the time may well end in tears, either through people getting hurt or the offenders being prosecuted," Mr Brown said, adding social media was regarded by many as a "protected sanctuary" where anything could be posted anonymously without fear of reprisal.
"There are ways and means of finding those responsible for criminal activity posted online and it is not as safe or anonymous as some may think."