The video has been widely shared online through Facebook and other community chat groups.
The spokeswoman said police would be working to identify and speak to those involved.
A person who witnessed the incident said it happened at a boy racer meet-up near Hamilton.
Late last year, police launched a two-day operation targeting antisocial road users in Wellington.
Ten cars were seized after complaints about street racing causing a cacophony, road damage and mess.
District road policing manager Inspector Wade Jennings said he hoped the operation would reassure local residents and business owners.
"We intend to continue to target this behaviour and there is more work to do," Jennings said last month.
"We know there are car enthusiasts who are meeting up and socialising without engaging in this type of activity.
"We will be focusing on the small minority who have little regard for road safety and the communities they are affecting with their behaviour."
