• Meaning of "Rapidly": The adverb rapidly refers to the speed at which a process happens or something moves (e.g., "The population is growing rapidly" or "He ran rapidly").
Inappropriate Context: While "played" is an action, it doesn't usually happen "rapidly" in a general sense. When children play in a park, they might play energetically, happily, noisily, or quietly.
Semantic Mismatch: "Rapidly" describes a rate of change or velocity. Using it to describe the act of "playing" (which is a state of activity rather than a singular directional movement or a process of growth) is semantically awkward in English.
Natural Alternatives:
Michael and Robert played happily in the park.
Michael and Robert played energetically in the park.