She was detained on Sunday morning in the north of the city and was released pending a report to the Public Prosecution Service.
Two pipe bombs were thrown at two young officers in the early hours of Tuesday as they responded to a 999 call in the Crumlin Road area.
They had just got out of their armoured vehicle when the two missiles were hurled at them, exploding just yards away.
The pipe bombs were described by the PSNI as large homemade grenade-type devices.
A 25-year-old man, who was arrested in the West Midlands in England, and a 27-year-old woman, who was detained in the north Belfast area, remain in custody.
Detectives have been given more time by a court to question the woman as part of their investigation after she was arrested last Wednesday.