This is taken directly from the mint web site:
The designs on the coins replicate the portrait on the 1964 design:
Obverse: The design shows a portrait of President John Fitzgerald Kennedy, the youngest person ever elected to the office. U.S. Mint Sculptorâ€"Engraver Gilroy Roberts based this profile on a portrait prepared for Kennedy's presidential medal. Roberts created his original 1964 design shortly after Kennedy's assassination.
Reverse: The design is based on the Presidential Seal and was done by U.S. Mint Sculptorâ€"Engraver
Frank Gasparro. It consists of a heraldic eagle with a shield on its breast, holding a symbolic olive branch and a bundle of 13 arrows. A ring of 50 stars surrounds the design, which gives this coin the distinction of having more stars than any other United States coin ever produced for circulation.
Note: All other U.S. Mint 2014 Kennedy halfâ€"dollars that are not included in the K13, K14 and K15 sets share the common reverse described above, while the obverse features a strong but simple portrait of President John Fitzgerald Kennedy and the inscriptions "LIBERTY" and "IN GOD WE TRUST."