$\"\"$

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(a).

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A $\"\"$ race started with an initial speed of $\"\"$ and final speed of $\"\"$ .

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Graph :

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Graph the functions $\"\"$ and $\"\"$ on the same graph. $\"\"$

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$\"\"$

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(b).

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Consider $\"\"$ .

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Power rule of the integrals : $\"\"$ .

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$\"\"$

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Consider $\"\"$ .

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Power rule of the integrals : $\"\"$ .

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$\"\"$

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$\"\"$

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(c).

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Strategy :

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$\"\"$

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Solve for $\"\"$ .

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$\"\"$

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$\"\"$

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Graph :

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Graph the function $\"\"$ .

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$\"\"$

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Observe the graph:

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The curve cuts the $\"\"$ -axis at $\"\"$ .

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Therefore by using the first strategy the sprinter tooks $\"\"$ to complete the race.

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Strategy 2:

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$\"\"$ .

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Solve for $\"\"$ .

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$\"\"$

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$\"\"$

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Graph:

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Graph the function $\"\"$ .

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$\"\"$

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Observe the graph:

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The curve cuts the line at $\"\"$ .

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Therefore by using the second strategy the sprinter tooks $\"\"$ to complete the race.

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$\"\"$

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(a)

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Graph the functions $\"\"$ and $\"\"$ on the same graph is \ \

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$\"\"$

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(b)

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$\"\"$ .

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$\"\"$ .

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(c)

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By using the first strategy the sprinter tooks $\"\"$ to complete the race.

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By using the second strategy the sprinter tooks $\"\"$ to complete the race.