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that's a particle falling down under the affect of gravity.
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If all you know
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is the particle is falling under the affect of gravity,
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that's not enough to say where the particle is, right?
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Suppose we all go to a tall building
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and start throwing things at various times and various speeds.
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We're all throwing objects whose acceleration is -g.
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But the objects are at different locations at a given time.
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That's because they could have been released from different heights
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with different initial velocities.
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Therefore, it's not simply enough to say what the acceleration is.
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You have to give these two numbers.