As you play a Star Trek video game, you track all of the Romulan warships as they fly across the screen, attacking your ship, the USS Enterprise. In visually tracking the movements on the screen, the plays an important role.

midbrain

Explanation:

Based on the information provided it can be said that In visually tracking the movements on the screen, the midbrain plays an important role. This is because the midbrain controls many important functions in motor movements, especially with eye movements, as well as in auditory and visual processing. Which play a huge part in tracking movements on the screen.