Final answer:
Scientists accepted the Copernican model over Ptolemy's model due to its accuracy and scientific evidence, not because of the Vatican's endorsement.
Step-by-step explanation:
Scientists ultimately accepted the Copernican model over Ptolemy's model because they found it to be more accurate and supported by scientific evidence, not because of its endorsement by the Vatican. The heliocentric model proposed by Copernicus was based on observations and mathematical calculations, which challenged the geocentric model proposed by Ptolemy. Galileo's work further supported the Copernican view, leading to a gradual acceptance of the heliocentric model in the scientific community.