20 Things You Somehow Missed In Independence Day
18. Improv
After casting Jeff Goldblum in the role of David, Roland Emmerich was blown away by the chemistry he had with both Judd Hirsch (who played his father) and Will Smith (who is Will Smith).
As a result, he began amending the script in a way that would best utilize this natural camaraderie.
It's something that's more noticeable on a rewatch, but the bulk of dialogue between Goldblum and either Hirsch or Smith is largely improvised. In particular, the drive into Washington and all the shots inside the Alien fighter.