It's either not Kennedy, not a silver dollar, and/or not 1935. JFK was still in high school in 1935. His portrait was put on the US half dollar in 1964, following his death.
If your coin says ONE DOLLAR and PEACE on the back, the person on the front is MISS LIBERTY. Please see the Related Question for more.
A 1969 silver Kennedy half dollar is worth $5 inn perfect condition. The value of the silver is worth $2.87.
A 2002-S silver proof Kennedy has an average retail value of $18.00.
If you check the back you'll find that you have a halfdollar. There has never been a US-issued Kennedy silver dollar.
The 1969 Kennedy half dollar is only 40% silver with a value about $3.25
About $6 for its silver content
The coin is 40% silver and has a value of about $2.00 only for the silver.
If the coin is a 1996-S Silver Proof Kennedy Half dollar, average retail value is $12.00 to $15.00
The coin has no silver and is just face value, spend it.
If the coin is a US Kennedy half dollar dated 1974 it has no silver in it and is face value.
Please, turn the coin over and look at the denomination on the back. It's a HALF dollar, not a dollar. The 1964 Kennedy half is a 90% silver coin, but very common. The value would be only for the silver, about $15.00 as of 9-1-11.
About $15.00, retail.
It has no silver and is just 50 cents, spend it.