LIST: More Boeing 737 Max 8 Jetliners Grounded after Ethiopian Airlines Crash

Britain joined a growing number of countries grounding a new Boeing plane involved in the Ethiopian Airlines disaster as a global team of investigators began picking through the rural crash site on Tuesday.

Some airlines cited worried customers for grounding the Boeing 737 Max 8, as experts chased details on why the plane crashed shortly after takeoff Sunday, killing all 157 on board.

Ethiopian Airlines had issued no new updates on the crash as of late afternoon as families around the world waited for answers. Some insights into the disaster and its cause could take months, aviation experts said.

Oman, Norwegian Air Shuttle and South Korean airline Eastar Jet also were the latest to halt use of the Boeing 373 Max 8. Malaysia, Australia and Singapore suspended all flights into or out of their countries.

The U.S.-based Boeing, however, has said it has no reason to pull the popular aircraft from the skies, and it does not intend to issue new recommendations about the aircraft to customers. Its technical team joined American, Israeli, United Arab Emirates, Kenyan and other aviation experts in the investigation led by Ethiopian authorities.

The U.S. Federal Aviation Administration said it expects Boeing will soon complete improvements to an automated anti-stall system suspected of contributing to the deadly crash of another new Boeing 737 Max 8 in October, and update training requirements and related flight crew manuals.

#update @cbsnews has obtained the FAA notice to operators of the 737Max. It reiterates there is not enough info about this crash to draw conclusions. Updates operators what FAA has done since the Lion Air Crash. pic.twitter.com/SJYe1kyDSN

#breaking @boeing CEO to employees: Since its certification and entry into service, the MAX family has completed hundreds of thousands of flights safely. We are confident in the safety of the 737 MAX and in the work of the men and women who design and build it. pic.twitter.com/csK8g9EJh6

Safety experts have cautioned against drawing too many comparisons too soon with that Lion Air crash of the same model that killed 189 people in Indonesia.

The Ethiopian Airlines plane crashed in clear weather six minutes after taking off for Nairobi.

One witness told The Associated Press that he saw smoke coming from the plane's rear before it crashed in a rural field. "The plane rotated two times in the air, and it had some smoke coming from the back then, it hit the ground and exploded," farmer Tamrat Abera said.

It should take five days before any victims' remains are identified, Ethiopian Airlines spokesman Asrat Begashaw told the AP. The dead came from 35 countries and included dozens of humanitarian workers.

A pilot who saw the crash site minutes after the disaster told the AP the plane appeared to have "slid directly into the ground."

Capt. Solomon Gizaw was among the first people dispatched to find the crash site, which was discovered by Ethiopia's air force.

"There was nothing to see," he said. "It looked like the earth had swallowed the aircraft. ... We were surprised!" He said it explained why rescue officials quickly sent bulldozers to begin digging out large pieces of the plane.

Investigators on Monday found the jetliner's two flight recorders at the crash site. An airline official, however, told the AP one recorder was partially damaged.

"The engine is here, the wreckage, the humans, the flesh and remains, still we are collecting," one investigator at the site, Amdey Fanta, said Tuesday.

Ethiopian Airlines, widely seen as Africa's best-managed airline, grounded its remaining four 737 Max 8s until further notice as "an extra safety precaution." The carrier had been using five of the planes and was awaiting delivery of 25 more.

Airlines in China and Indonesia, Aeromexico, Brazil's Gol Airlines, India's Jet Airways and others also have temporarily grounded their 737 Max 8s.

As the global team searched for answers, a woman stood near the crash site, wailing.

Kebebew Legess said she was the mother of a young Ethiopian Airlines crew member among the dead.

"She would have been 25 years old but God would not allow her," she wept. "My daughter, my little one."

Here is a list of airlines and countries that have grounded the aircraft so far:

Australia

Australia has announced a temporary ban on flights by Boeing 737 Max aircraft, although none of its airlines currently operate them. The Civil Aviation Safety Authority said Tuesday that the ban will affect two foreign airlines -- SilkAir and Fiji Airways -- that use them for flights to Australia. The authority said Singapore's SilkAir has already grounded its 737 Max jets, and that the CASA is working with regulators there and in Fiji to minimize disruptions.

The authority said Fiji Airways has two 737 Max 8 jets in its fleet. The airline had hoped to continue flying the jets to Pacific destinations.

Brazil

Brazil's Gol Airlines has suspended the use of 121 Max 8 jets. The airline said it's following the investigation of the Max 8 closely and hopes to return the aircraft to use as soon as possible. Gol said it has made nearly 3,000 flights with the Max 8, which went into service last June, with "total security and efficiency."

Cayman Islands

Cayman Airways, a Caribbean carrier, said it stopped using its two Max 8 jets starting Monday. President and CEO Fabian Whorms said the airline is committed to "putting the safety of our passengers and crew first." Whorms said the move will cause changes to flight schedules.

Cayman is the flag carrier of Cayman Islands, a British overseas territory. It received its first Max 8 in November and its second earlier this month.

China

China has 96 Max 8 jets in service, belonging to carriers such as Air China, China Eastern Airlines and China Southern Airlines. The civilian aviation authority directed the planes to be grounded indefinitely on Monday. It said the order was "taken in line with the management principle of zero tolerance for security risks."

Eight Chinese citizens were on the Ethiopian Airlines flight that crashed shortly after taking off on Sunday. The authority said it will consult the U.S. Federal Aviation Administration and Boeing before deciding when to lift the ban.

Ethiopia

A spokesman for Ethiopian Airlines says it will ground its remaining four Max 8 jets as an "extra safety precaution" while it investigates Sunday's deadly crash. Asrat Begashaw said investigations and the search for bodies and aircraft debris will continue. The airline is awaiting the delivery of 25 more Max 8 jets.

India

India's Jet Airways said it's "in contact with the manufacturer" of Max 8 jets and has grounded five of them starting Monday. Indian airline SpiceJet also uses the aircraft, but it's unclear if those planes are grounded. Calls and emails to the company were unanswered Tuesday.

On Monday, India's aviation watchdog ordered a safety assessment of the aircraft. It also issued safety instructions for flying the Max 8 jet.

Indonesia

Indonesia said it will temporarily ground Max 8 jets to inspect their airworthiness. Director General of Air Transportation Polana B. Pramesti said the move was made to ensure flight safety. A Lion Air model of the same plane crashed in Indonesia in October.

Indonesian airlines operate 11 Max 8 jets. Lion Air, which owns 10 of them, said it will try to minimize the impact of the decision on operations. The other Max 8 jet belongs to national carrier Garuda.

Mexico

Mexican airline Aeromexico has suspended flights of its six Max 8 jets after the crash in Ethiopia. Aeromexico said it "fully" trusts the safety of its fleet but ordered the grounding to ensure "the safety of its operations and the peace of mind of its customers." It said other planes will take over the routes usually flown by the Max 8.

Singapore

Singapore has temporarily banned Max 8 jets -- and other models in the Max range -- from entering and leaving the country. The civil aviation authority said it was "closely monitoring the situation," and the ban will be "reviewed as relevant safety information becomes available." It added that it was in close communication with the FAA, Boeing and other aviation authorities.

SilkAir, a regional carrier owned by Singapore Airlines, has six Max 8 jets. It said the ban "will have an impact on some of the airline's flight schedules." The authority said flights to Singapore by China Southern Airlines, Garuda Indonesia, Shandong Airlines and Thai Lion Air will also be affected.

South Korea

South Korean airline Eastar Jet said it will suspend operations of its two Boeing 737 Max 8 planes, the same aircraft involved in the Ethiopian Airlines plane crash that killed 157 people. It said the aircraft will be replaced by Boeing 737-800 planes starting Wednesday on routes to Japan and Thailand. The airline added that it hasn't found any problems, but is voluntarily grounding the planes in response to customer concerns.

Senator Dianne Feinstein sent a letter to the FAA Monday:  "Until the cause of the crash is known and it's clear that similar risks aren't present in the domestic fleet, I believe all Boeing 737 Max 8 series aircraft operating in the United States should be temporarily grounded."

#update Senator Diane Feinstein to FAA—ground the Max: "Until the cause of the crash is known and it's clear that similar risks aren't present in the domestic fleet, I believe all Boeing 737 Max 8 series aircraft operating in the United States should be temporarily grounded" pic.twitter.com/N6vBvPGsHO

-CBS News and AP

-KNX 1070 contribued to this report