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Question:
A motion of a body can be described by a reference point. Frame of reference has two types: inertial and non-inertial. Then to classify the frame of reference, don't we need anther frame of reference , then another and so on?
Answer:

No, the frame of reference is that object which is being considered relative to when trying to answer the state of motion of one object. However, the constant frame of reference against which all assigments are done is the Earth. So it is considered that Earth being the constant frame of reference is always at rest.

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