Final answer:
The part of the brainstem responsible for coordinating movements is the pons, which relays messages and helps regulate breathing as well as coordinating large body movements.
Step-by-step explanation:
The part of the brainstem that helps to coordinate movements is the pons. This section of the brain relays messages to other parts of the brain, primarily the cerebrum and cerebellum, and also helps in regulating breathing. It is significant in coordinating large body movements such as walking and running. Other areas of the brain such as the basal ganglia and the cerebellum also play crucial roles in movement control, posture, and the coordination of learned movements like typing on a keyboard or swinging a bat, but the pons is the specific part of the brainstem asked about in the question. Thus, the correct answer to the question is c) Pons.