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you are called an inertial observer.
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One of the laws you want is,
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if you leave something, it should stay where it is.
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When the train is accelerating,
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that won't be true.
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You leave things on the floor when it's accelerating,
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things will slide backwards.
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So, with no apparent force acting on it,
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things will begin to accelerate;
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that's a non-inertial frame.
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We are not interested in that.
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You started out as an observer for