One well-known and oft-cited trope is that of life imitating art. Hollywood (and other movie studios) have provided countless films in which slow motion is used to emphasize or provide clarity to a scene.
Suppose life really did start imitating art. Specifically, accidents and dramatic moments, such as two cars careening towards each other, moments of intense drama, or a man falling from a height, occurred in slow motion (1/1000th time), but only those people/objects involved in the event actually experience the slow motion. Anyone and everyone else experiences time normally.
Slow motion events can be interacted with by anyone not initially involved in the event. However, the people/objects involved at the outset of the event continue to move in slow motion until the event's completion, regardless of what happens to them. For example, during a car crash, a passerby runs to the driver's side of one vehicle, wrenches the door open, and pulls the driver to safety; the driver, however, isn't aware of being removed from the vehicle until the vehicles stop moving and all debris has settled (the event's conclusion), at which time he remembers being pulled from the car.
What would be the immediate (first week) reaction and long-term consequences if dramatic moments began moving in slow motion tomorrow (spontaneously)?
Answers should address societal and cultural aspects first and foremost, but may provide a look at political, economical, religious, or other aspects at the author's whim.
To help get an understanding of how the dilation works, see this video and treat Quicksilver as an observer and everyone else as initial participants.