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is not enough to tell you where the particle will be.
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For example,
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let's take the case where the particle is falling under gravity.
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Then you guys know,
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you just told me, acceleration is -9.8,
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We call it "minus" because it's accelerating down
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and up was taken to be the positive direction.
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In that case, y will be -gt^(2)/2+c+bt.
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So,the point is,every object falling under gravity
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is given by the same formula,
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but there are many, many objects that can have many histories,
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all falling under gravity,