Windshield problems of the 1999 Mazda 626

-1999 Mazda 626 ES- the black rubber weather stripping around the front windshield all of a sudden started to peel off. As I drove on the highway, the rubber trim would flap around violently and eventually I had to pull off and buy/apply some tape to stop it from flying off completely. This could have caused an accident if my mother or grandmother was driving the car. The stripping creates a real diversion to driving and I'm not sure if the windshield would eventually come loose. The tape pulled up my paint job around the window.