The video shows more footage from the dashcam of one of the patrol cars chasing the suspect, Gene Atkins, after they say he shot his grandmother and kidnapped his girlfriend.
It also shows the moment Atkins shot at police officers. Along with the video, 911 calls about the initial shooting that prompted the chase and officers' radio traffic were released.
GRAPHIC VIDEO WARNING: Some may find this footage disturbing
VIDEO: LAPD releases new audio, video of events leading to Trader Joe's shootout
Melyda Corado, 27, was killed by police gunfire as they tried to stop Atkins from running into the grocery store.
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There have been other videos released from the July 21 shooting. The video released Tuesday was edited.
GRAPHIC VIDEO WARNING: Some may find this footage disturbing
VIDEO: LAPD footage shows chase before Trader Joe's standoff
Corado's father called on the LAPD later in the afternoon to release an unedited version of the incident.
"We are here to ask the Los Angeles Police Department to turn out all evidence so we can move on with our lives. We are devastated by her loss. We have many questions about how Mely died, but we don't have any answers," Albert Corado Sr. said.
He said what the public has seen only tells the department's version of events.
Attorneys for the family said their clients do not plan on suing the LAPD or the city right now, but may consider legal action to have more evidence released.