Sarah Everard was handcuffed by her murderer as he pretended to arrest her for breaching Covid guidelines.
Met Police officer Wayne Couzens abducted her as she walked home from a friend's house in Clapham on 3 March.
Couzens showed his warrant card before restraining Ms Everard, 33, putting her in his hire car and driving away.
His sentencing hearing at the Old Bailey was told that her ordeal could be summarised as "deception, kidnap, rape, strangulation, fire".
The 48-year-old had worked on Covid patrols in January, the court heard, and so would have known the appropriate formal terms regarding potential breaches.
The whole kidnapping took less than five minutes.
Ms Everard was handcuffed at 21:34 GMT and four minutes later she was being driven to Dover, where Couzens transferred her to his own car.
Couzens then drove to a remote rural area he knew well, where he raped Ms Everard. The sexual predator had clocked off from a 12-hour shift that morning.
Prosecutor Tom Little QC said Couzens must have taken Ms Everard's mobile phone from her and removed the sim card, which he tried to destroy.
Ms Everard was described by a former long-term boyfriend as "extremely intelligent, savvy and streetwise" and "not a gullible person", the court heard.
He could not envisage her getting into a car with someone she did not know "unless by force or manipulation", Mr Little said.
The abduction was witnessed by a couple travelling past in a car, but they "assumed Ms Everard must have done something wrong", the court was told.
One of the witnesses described a woman on the pavement who appeared to have her left arm behind her back and "was in the process of giving her other arm behind her back" as a man in dark clothing handcuffed her.
Mr Little said they believed they were witnessing an undercover police officer arresting a woman.
The exact time Ms Everard was killed could not be determined, although she was dead - strangled with Couzens' police belt - by about 02:30 on 4 March, when he stopped for snacks at a service station.
He then visited Hoads Wood near Ashford, Kent, leaving just before sunrise. Later that morning, he threw Ms Everard's mobile phone into a channel at Sandwich, where it was found by a police diver.
Wayne Couzens shuffled into court his head bowed. Wearing a dark blue suit he confirmed his name.
Sarah's parents, and other family members, are in court listening to horrendous details about their daughter's kidnap, rape and murder.
In the public gallery many of her friends have also come to court to support them.
Three members of her family will read out statements this afternoon about how her murder has affected them.
The prosecutor said her murder was reported on social media as #shewasonlywalkinghome but the more appropriate five words to describe what Couzens did were "deception, kidnap, rape, strangulation and fire".
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