Wind whistle when top down

Sorry I haven't replied recently, didn't have any notices via email until now....yes, it is a '68 Dart convertible.

I will certainly take the trim pieces off and check for weatherstripping, now that you guys mention it I had a '69 that I replaced it on a few years ago but just because I was repolishing it so will check on those issues. Thanks so much for the input, I'll let you know what I find.