The answers are no longer needed for the Sony Site and can be found at the related link
Links to the Jeopardy archive have been added for the days that have had a program
That's next year and the answers will be available after the shows have aired on the related link
The Final Jeopardy category for June 17 2010 was Americana
The Final Jeopardy category for June 9 2010 was Artists
The Final Jeopardy category for June 29 2010 was Physics
The Final Jeopardy category for June 18 2010 was Sports Venues
The Final Jeopardy category for June 28 2010 was Botanical Etymology
The Final Jeopardy category for June 4 2010 was American Politicians
The Final Jeopardy category for June 10 2010 was Short Stories
The Final Jeopardy category for June 11 2010 was Flags and Banners
The Final Jeopardy category for June 16 2010 was Modern Materials
The Final Jeopardy category for June 23 2010 was Historic Dates
The Final Jeopardy category for June 24 2010 was National Parks