How can I get my parents to trust me?

I didn’t do anything wrong, they just don’t trust me. They treat me like some sort of baby, and hardly let me do anything.
Mom always likes to believe that I’m lying. I actually try to avoid lying as much as possible, and I think it’s been quite some time now since I’ve lied to my parents.
I’ve never drank alcohol or any other beverage such as that, and I don’t do drugs, because, to quote NWA- drugs are "…gonna give a brother brain damage, and brain damage on the mic don’t manage…" I don’t party or anything, and I never do anything too terribly wrong.
When I was a small child, I was hit by a car. This has a major role in the situation, I assume.
All this is about a little trip. I’m in Oklahoma, and my sister lives in West Virginia. She invited me to go camping with her and her family. I’m wanting to ride my motorbike there, but Mom wants me to take a train, plane or bus. The way I see it, those are WAY more dangerous than my hog. I’m also acrophobic, and I have the fear of getting mugged. Even when I’m completely alone I worry about that sometimes…
But even without this trip, it really hurts me when they don’t trust me. I just feel worthless, even though I haven’t done anything to earn their distrust.
BTW: This trip is in July. I already know the basics of what to pack, and even how to pack it, and even though I already have my motorbike license, I’ll be 16 then. They may view me differently then, perhaps?

Wow man your situation is quite different than most…First off, how old are you? If your still in HS there is no way your parents will let you motorbike alone 100s of miles away to West Virginia. You got to level with them. Sit then down and talk to them. Show them that you can be trusted, and thus far have given them no reason to mistrust you. Remind them of your accomplishments; Remind them you’re a good kid. Initiating a serious conversation like this is a sign of maturity. Your parents love you and want you to be safe. Sounds like you have good parents. I’m 19, and put my parents through shit in HS. Unlike you I drank and did tons of drugs. Now that I’m away in college I’ve calmed down and matured. I’ve come to respect my parents a lot more. Good Luck!!

P.S. Dude I’m in Oklahoma too. I go to OU!

motorbike fixed....without being given a quote....advice needed?