Heading out to lunch—in a private jet

She took the private jet ... to lunch

Some people take the private jet for lunch. To an island. Because they can.

These days, the big business of private jets isn't just for big business-y things—business is booming, especially in the United States.

The obvious draw for flying the private skies is pure travel convenience. There are no lines. No TSA. And no throwing elbows to secure overhead space from that guy in the Myrtle Beach tank top.

That's an attractive luxury. And more and more travelers want it.

Tasting Table Editor in Chief Kat Kinsman steps out of a private jet in Nantucket, Massachusetts.
Source: CNBC

In 2014, demand for private aviation grew 24 percent, according to consulting firm Private Jet Services. And with more than 12,000 private jets registered in the U.S., that demand only seems to be getting stronger.

So is the competition.

Zurich-based VistaJet, for example, entered the high-end U.S. market in 2013, offering serious competition to NetJets, which claims the world's largest fleet of private aircraft.

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Owned by Warren Buffett's Berkshire Hathaway, NetJets relies on a fractional ownership business model—where customers buy a share of an aircraft. VistaJet, on the other hand, uses a pay-as-you-go structure.

But it's not just business travel. As more private carriers like VistaJet start to take on the look and feel of a high-end Uber, offering great deals on "empty leg" aircraft positioning routes, and even more carriers switch to easy-to-use, pay-in-advance jet cards, the market is expanding beyond just the business needs of the super wealthy.

Now you just need to have a spur-of-the-moment wild idea—and be somewhat wealthy.

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Andrew Collins, president of Sentient Jet, an aviation company that spearheaded the increasingly popular prepaid jet card structure, estimates that around 40 percent of all private jet travel is for leisure.

As part of CNBC's "My Extraordinary Day" series, we surprised Kat Kinsman, editor-in-chief of the New York-based website Tasting Table, to lunch—in Nantucket.

Because how else do you dazzle a professional foodie who has eaten the world's most amazing dishes?

This is how: a quick "turn-and-burn" for seafood. After all, someone had to sit on the beach and soak up all that sunshine on a Wednesday.

In this series, CNBC surprises ordinary people with extraordinary surprises. From the luxurious to the expensive to the exclusive, see what happens during "My Extraordinary Day."

(CORRECTION: The author's name was originally misstated.)