Sleeping with the Enemy (1991)

Julia Roberts is on the run from an ex-boyfriend or ex-husband who wants to kill her: not sure whether it's because she knows about some crime he committed or just because he's a violent, jealous maniac—I think the latter. In the end there's a suspenseful scene at an amusement park and presumably the guy dies, probably by falling off a ferris wheel or something. I remember this movie being about as cheerful and fun as you'd expect a movie about a woman-beating stalker/murderer to be.

This screenshot might be from a different movie—not totally sure.