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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,
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and what's different from one object and the other object is,
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when was it dropped,
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from what height, and with what initial speed.
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That's what these numbers are going to tell us
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and we can verify that as follows.
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If you want to know what the number c is,
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you say, let's put time t=0.