"Impossible" is a song by Barbadian singer and songwriter Shontelle. It is the lead single from her second studio album, No Gravity (2010). The song was written by Arnthor Birgisson and Ina Wroldsen, and produced by Birgisson. It was released digitally on 9 February 2010. "Impossible" peaked at number 13 on the Billboard Hot 100 in the United States, number 33 in Canada, number nine in the United Kingdom and number five in Denmark.

The X Factor winner James Arthur released a cover version of the song after winning the ninth series of the talent competition in December 2012. It was released shortly after his win and reached number one in the UK and Ireland, as well as charting in the top ten in 20 other countries. As of 2016, it has sold 1,294,000 copies in the UK.

"Impossible" is a midtempo R&B ballad written by Arnthor Birgisson and Ina Wroldsen, in the musical key of A♭ major with a time signature in common time and a tempo of 92 beats per minute. The melody is to be played in a moderate tone and tempo. The song's backing track consists of a simple chord progression of A♭—E♭—D♭—Fm⁷. It was conceived after Shontelle stated that she felt that radio was currently missing a "heartbreak ballad". In an interview with J-14 magazine she said "I knew that there was no song out there for heartbroken people. I just wanted to put a song out that gave people hope - things may not work out the way you want them to, but you can move past it and everything is gonna be okay... [I want to help listeners] draw the strength to carry on past a break up where you're the one in the embarrassing position." Shontelle uses a vocal range from E♭³ to D♭⁵ in the song.Billboard's Michael Menachem described her vocal precision as similar to that of Beyoncé's in "Irreplaceable". Meanwhile, the production, helmed by Birgisson, was compared to Norwegian production team, StarGate who are, coincidentally, the team responsible for producing "Irreplaceable".

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