It caused the window to smash and Riordan, a 43-year-old mother-of-two was partially sucked through the hole in the plane and died as a result.
Riordan's family said earlier in the week that it was too soon for them to consider any form of legal action against the airline.
"We can confirm the communication and gesture are authentic and heartfelt".
"I just remember holding my husband's hand, and we just prayed and prayed and prayed", said passenger Amanda Bourman, of New York.
The photos show panicked passengers with the yellow oxygen masks around their mouths, but not their noses.
NTSB investigators said passenger Jennifer Riordan was wearing her seatbelt when she was out a plane window that was shattered by debris.
The people who were sending "videos to their families, saying, 'These are my last words to you, ' which is something that did occur in this incident, that kind of person will live with that for the rest of their life", he said.
With Tuesday's possibly preventable fatality in mind, Froehling isn't the only flight attendant stepping forward to ask passengers to pay more attention during the brief safety demo.
She died later from her injuries.
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For experienced flyers, the in-flight safety demonstration can seem like a mundane legal requirement that they already know inside-out. Everyone clapped and praised the pilot after she set the aircraft down. The NTSB added that it continues to investigate the engine failure.
"The affected engine count for the fleet in costs of compliance ... appears to be vastly understated", it said.
The engine failure happened at about 32,000 feet, about 20 minutes after the jetliner left New York's LaGuardia Airport. Robert Clifford, a lawyer who is suing American Airlines over another engine explosion that caused a fire that destroyed the plane, said the FAA should have required the inspections - even if it meant grounding Boeing 737s.
"As Captain and First Officer of the Crew of five who worked to serve our Customers aboard Flight 1380 yesterday, we all feel we were simply doing our jobs", they said in a joint statement.
This stock (LUV) is ahead of its 52-week low with 10.13%. And it would need more time to implement the stricter inspections sought. The company says over 8,000 CFM56-7B engines are currently in use on Boeing's 737 airplanes. The NTSB said a fan blade had broken off, apparently because of metal fatigue. A cycle is one takeoff and one landing.
A second piece of a plane that made an emergency landing after a fatal engine mishap has been found in a Pennsylvania town about 60 miles (97 km) northwest of the Philadelphia International Airport.
Investigators found that the fan blades showed signs of metal fatigue.
The FAA said Wednesday that it would order the inspection of some CFM jet engines following the deadly incident - which marked the first death in a U.S. commercial aviation accident since 2009.