Don't worry about this, just make sure to report it on the application. My son was given a speeding ticket a little over a year ago, on the day of his Junior Prom. He was under 18 so was required by state law to go to juvenile court. He lost his license for 30 days and had to pay a fine. All this was reported on his application and in the police reports he had to send later.
He is now a soon to be plebe for class of 2014. Thankfully he hasn't had any further incidents, and I truly think the experience has made him a more careful driver.