When the fast of Asara B'Teves is over, in NYC, in 2010

Read all about the fast falling on a Friday over at Hirhurim, as well as how it interacts with kiddush, singing Shalom Aleichem, etc.

One relevant paragraph:

For the sake of convenience, it is permitted and even encouraged for congregations to recite Kabbalat Shabbat and Ma’ariv a little earlier than usual in order to allow congregants to arrive home and recite Kiddush precisely at nightfall.[8] Furthermore, there are authorities in both Israel and America who conduct themselves in a more lenient manner than usual with regards to the definition of nightfall in order to allow the Shabbat evening meal to begin as soon as possible.[9] Those who are especially hungry can recite Kiddush as soon as the fast is over and defer the singing of “shalom aleichem” and other preliminary zemirot for later in the meal.[10] It goes without saying that those who have the custom not to recite Kiddush between 6pm and 7pm should disregard the custom on such a Shabbat.[11] It is permitted to wash one’s mouth, such as with mouthwash, before reciting Kiddush.[12]

According to MyZmanim, what follows is the time for Kew Gardens Hills. Check your own zip code to get your own local time:

Fast Begins at 5:45 AM Dawn - Degrees or at 6:01 AM Dawn - Fixed Minutes Eating of a settled character - אכילת קבע - may not be started during the half hour immediately preceding dawn. Please consult your Rabbi for details.  Fast Ends       R' Tukaccinsky     The fast ends no later than the emergence of ג' כוכבים בינונים at -   5:03 PM       R' Moshe Feinstein     One who finds fasting difficult may eat at -     5:07 PM One who does not find fasting difficult should wait until the time for מוצאי שבת at -     5:15 PM ?מהיכא תיתי

According to Chabad (but again, check your own local times):

Candle Lighting	4:11 pm
Shkiah (sunset)	4:29 pm
Fast Ends	5:00 pm
Tzeit Hakochovim (nightfall)	5:06 pm