$\"\"$

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The object of mass $\"\"$ .

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The spring damping factor is $\"\"$ .

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The spring is pull down a distance $\"\"$ and then release it.

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The time period $\"\"$ .

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$\"\"$

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$\"\"$ .

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(a)

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Find the equation that relates the distance $\"\"$ of the object from its rest position after $\"\"$ seconds.

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The displacement $\"\"$ of an oscillating object from its at-rest position at time $\"\"$ is $\"\"$ .

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Substitute $\"\"$ , $\"\"$ , $\"\"$ and $\"\"$ .

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$\"\"$

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$\"\"$ .

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$\"\"$

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(b)

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Graph the function $\"\"$ .

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Graph:

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$\"\"$

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$\"\"$

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(a) $\"\"$ .

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(b) Graph of the function $\"\"$ .

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$\"\"$