West Mercia Police wants witnesses to the incident which happened at around 11.20am on Sunday, October 11, to come forward.
The incident involved a white BMW and a Honda motorbike which were travelling on the westbound carriageway on the A5 bypass in Shrewsbury when the motorists were involved in an altercation.
Following the incident it was reported that the motorcyclist stopped on the carriageway and confronted the car driver at Dobbies roundabout.
They continued on their journeys and then stopped again prior to Woodcote roundabout at the junction for the Royal Shrewsbury Hospital where the motorcyclist allegedly caused damage to the BMW.
Anyone with dashcam footage or who saw what happened should contact the investigating officer on 07870 219414.
Alternatively, contact Crimestoppers anonymously on 0800 555111 or at crimestoppers-uk.org