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If the coordinate system is "inertial" (stationary, or moving in a straight line at a constant speed without rotation), then the motion will be the same as in any other inertial system, and Newton's laws of motion apply. If the coordinate system is not inertial (e.g. if it's rotating, or moving in circular path, or accelerating in a straight line), then Newton's laws of motion will not apply if the motion is calculated in the non-inertial frame. For example, if you are sitting at a table in a room that is slowly rotating, and roll a ball across the table, it will appear to move in a curved line across the table. But if you were looking from a stationary point above the room, you would see that the ball rolled in a straight line, and the table was moving under it.

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Q: What is the significance of defining a coordinate system to study the motion of an object?
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