BAYONNE, N.J. (CBS/AP) — A cruise ship battered by a major storm in the Atlantic Ocean returned to its New Jersey port on Wednesday night.

Royal Caribbean’s Anthem of the Seas docked at Bayonne’s Cape Liberty shortly after 9 p.m., its passengers cheering wildly.

It was escorted by two tugboats and a Coast Guard vessel.

“I could kiss the ground” a woman cried as she rushed toward the cruise terminal, where passengers were reunited with family members.

“Free at last,” shouted a man.

The ship was carrying 4,500 passengers and 1,600 crew members when it departed Saturday on a seven-day cruise to the Bahamas. But the 1,141-foot vessel sailed into a major winter storm on Sunday.

Powerful winds and waves as high as 30 feet tossed the vessel around.

Gerald Rogers of Allentown, Pennsylvania, was taking his first cruise with his family. He said it was a “pretty traumatic experience” for those aboard the ship.

“It was really leaning and the water kept coming above our window,” Rogers said. “It looked like we were in an aquarium looking out.”

Frank McHugh, from Collegeville, called it a “terrifying experience.”

“The worst part was the fears and the lies. We were told over and over that we were in good shape and to just relax.”

Kim Robinette adds, “We were trapped in a room for 17 hours. It was like a roller coaster you couldn’t get off of, and you weren’t strapped in.”

Dennis Maher says, “I thought we wouldn’t make it. I thought we’d have to use the life boats.”

Alison Crowley of Manasquan, New Jersey, who was traveling with her four children and her parents, described the situation as “pretty scary.” But she said, “The captain did a great job for what he had to deal with.”

Bill Baumgartner, a senior vice president with Royal Caribbean, said the ship’s passengers and crew had “a terrifying weather experience.”

“We are very sorry and apologize to the guests who had to go through this,” he told The Associated Press.

In a statement Royal Carribean said “the wind speeds were higher than forecasted.”

At least four passengers suffered minor injuries.

Passengers will get a full refund and a certificate toward 50 percent off a future cruise.

(TM and © Copyright 2016 CBS Radio Inc. and its relevant subsidiaries. CBS RADIO and EYE Logo TM and Copyright 2016 CBS Broadcasting Inc. Used under license. All Rights Reserved. This material may not be published, broadcast, rewritten or redistributed. The Associated Press contributed to this report.)