The Day after Tomorrow is an okay movie, following the story of what might happen if the polar ice caps melt and Earth's weather conditions caused peril and destruction world wide.
It is an obviously sci-fi, supernatural movie, and the whole movie is quite intense, as well as there being a few gory scenes throughout. In some parts, dead bodies and open wounds are seen, and various city destruction scenes are viewed throughout. There are some good effects and good parts throughout, but overall the movie is really intense to watch, and maybe for younger audience the super natural events showcased may easily take away from the actual story line, or some may find it scary.
It is an average movie, and there is learning involved, but unless you're really into sci-fi movies I wouldn't be running out to get it right away.