Mohammed Yassar Yaqub, 28, died when officers opened fire on the car he was travelling in near the M62 on Monday evening.
At his funeral in Huddersfield this morning, his mother wept as his coffin was carried out of a mosque.
Safia Bano was visibly distraught and had to be physically supported by mourners as the body left Masjid Bilal.
Hundreds of people attended the funeral service in his home town on Friday, more than were able to fit inside the building.
At the same time, 15 miles away, an inquest heard Mr Yaqub was shot through the windscreen of an Audi car after a “hard stop”.
Bradford Coroner’s Court was told a firearm was found in the front passenger footwell of the vehicle.
Coroner’s officer Chris Dalby told the hearing that Mr Yaqub was shot by an officer “in the execution of his duty”.
Meanwhile, a 30-year-old man is set to appear in court charged with firearms offences following the police operation.
Moshin Amin, of Broomer Street, Dewsbury, will appear before magistrates in Leeds charged with possession of a firearm with intent to cause fear of violence, possession of a sound moderator and possession of ammunition.
Two men, aged 37 and 26, who were also arrested on Monday evening, have been released on police bail pending further inquiries.
The arrests followed the fatal shooting of Mr Yaqub during a planned operation on the slip road at junction 24 of the motorway.
The Independent Police Complaints Commission (IPCC) is investigating the death and said none of the officers involved were using body-worn video cameras during the stop of the white Audi in which Mr Yaqub was travelling.
The inquest heard that the “hard stop” of the Audi and a Volkswagen Sirocco happened at 6.10pm on Monday.
Mr Dalby said four unmarked police cars were involved in the incident with one - a Mercedes - cutting across the front of the Audi.
He said the two vehicles collided with each other.
He said: “During the incident an officer discharged a firearm in the execution of his duty with the shots going through the windscreen of the Audi.”
Mr Dalby said Mr Yaqub was pronounced dead at 6.47pm and was first identified from his fingerprints.
He said a post-mortem examination showed he died from gunshot wounds to the chest.
The coroner asked to be kept up to date on the progress of the investigation by the IPCC and adjourned the inquest until March 31.
No family members were in court.