Whole cities, cultures, populations have disappeared, been lost over the last 2000 years.
Why would you think a wooden ship would survive and be found?
I don't believe that Noah's ark exists now.
Is it possible that Noah's ark still exists? I don't think so.
Is it possible that Noah's ark existed shortly after it landed? I don't think so.
All of the land was flooded, and it took time for the flood waters to soak into the ground and evaporate into the air. If there was that much water before, it must have evaporated off the planet and into space. We seem to be still evaporating some water.
So, what happened to Noah's ark? Well, it was made of wood, and with the world flooded, most of the wood would have been under water. So, whatever building materials they had were rare and valuable. The needed to build new homes. Furthermore, there was no wood for heat. So they needed to scrap the ark for heat and shelter. Later, as the waters went down, and trees started to grow again, they might have repurposed some of the wood to make other objects.
Over time, wood might rot (dry rot, wet rot, termites, wood chewing ants, etc).
So, there is little chance that an entact ark still exists.
Scientists are "supposed to" reserve judgement until they have to believe. Theists, on the other hand, believe because of proof-less faith. This means that they might believe anything. This is why theists are constantly being duped by politicians to get votes. They fall for the lines that they will save babies from abortion, and end up making wars, destroying the environment, and ruining the economy (while ignoring the poor, and making more poor out of the middle class).
So, when a "possible ark" is found, theists jump on that as a real ark. But it isn't until it is proven so. Scientists might later date the wood (by various methods).
One method of dating wood that is thousands of years old is looking for halflives of radioactive materials that the wood had when it was made. At the time that the tree made the wood, it made it out of carbon. But, carbon is radioactively not stable. It is composed of various isotopes (different amounts of neutrons). Thus, Carbon 12, and Carbon 14 might be available in certain amounts. When Carbon breaks down, it turns into some element that is not carbon (so you can tell that the wood is a certain age because the ratio of isotopes has changed.
Another, more recent, way of dating wood is lining up the tree rings against other trees. If you can find a succession of tree rings, in various trees, that spans thousands of years, you will have a reliable (down to the correct year) way of dating wood.
So, they date the prospective ark, and find that it could not be the real ark. This has happened many times. But scientific studies generally don't impress theists.
For example, the shroud of Turin has been dated and it could not possibly (barring a miracle of God) be the burial shroud of Jesus. Yet, theists persist in insisting that it is/was.
Some scientists don't use scientific methods. Hale (who built observatories), in his dotage, said that elves told him to build the telescopes (little green men???). Lowell (who built an observatory) said that he wanted to see the martians who built the canals of Mars (Gallileo said that they were lines....canali in Italian....not canals). Neil De Grasse Tyson said that we are in a virtual world (like the Matrix movie). So, we can't always trust people even if they are scientists.
But at least there are legitimate scientists working on dating ancient materials and ancient sites. So, there is some hope that they will get it right some day.