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I think you guys know how to solve that, right?
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You have to find a function
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whose second derivative is 96 divided by m,
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and you all know how to do that;
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it's t^2 times a number,
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and you can fudge the number so it works.
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This is more complicated.
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The time derivative of this unknown function
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is not a given number
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but the unknown function itself; in other words,
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x itself is a function of time.
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This is called a differential equation.