This is kinda along with the others that talk about people listening to the President's speech all over the world and it's daytime everywhere. But when the asteroid is destroyed everyone around the world looks up to see it being blown up. How could they all watch it blow up? It could only be seen on one side of the world.
Also, watch the "countdown" clock in the NASA space-center throughout the movie. Several times the clock seems to add time to itself.
Two real nit-picky things: 1) After the asteroid is destroyed there are several shots of people celebrating. One of the shots show's 4 or 5 kids runing down the street with Space Shuttle models. Were the stores still open even though the world was about to end? And one kid is riding in a "soapbox" space shuttle. He sure did get that built in a very short amount of time. 2) This is really nit-picky!!!! Was it really important for Bruce to press the button with 1 second on the clock. Seems to me that if he had waited 10 seconds to a min. later, we still would have been ok. After all the two pieces did miss earth by 400 miles. Or would any shorter distance have caused the two pieces to be drawn into earth's gravity?