$\"\"$

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The position of a particle at the time $\"\"$ is $\"\"$ , $\"\"$ .

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Rewrite the position function as $\"\"$ .

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$\"\"$

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$\"\"$ .

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Find the velocity function $\"\"$ .

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$\"\"$

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$\"\"$ .

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Find the total distance.

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$\"\"$ , $\"\"$ .

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The total distance is $\"\"$ .

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$\"\"$ is positive when $\"\"$ .

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Solution of $\"\"$ is $\"\"$ and $\"\"$ .

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$\"\"$ is negative when $\"\"$ .

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Solution of $\"\"$ is $\"\"$ .

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$\"\"$

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The limits of the integral is $\"\"$ .

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$\"\"$ is positive over the interval $\"\"$ and $\"\"$ .

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$\"\"$ is negative over the interval $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$ The total distance $\"\"$ .

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The total distance is $\"\"$ units.

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$\"\"$

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The total distance is $\"\"$ units.