$\"\"$

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The velocity is defined as rate of change of distance with respect to time $\"\"$ .

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$\"\"$ .

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Observe the graph of the position function.

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Find the velocity for the time period $\"\"$ .

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So the points in the interval $\"\"$ are $\"\"$ and $\"\"$ .

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Velocity in the interval $\"\"$

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$\"\"$

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$\"\"$ .

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Velocity of the function in the interval $\"\"$ is $\"\"$ .

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$\"\"$

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Find the velocity for the time period $\"\"$ .

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So the points in the interval $\"\"$ are $\"\"$ and $\"\"$ .

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Velocity in the interval $\"\"$

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$\"\"$

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$\"\"$ .

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Velocity of the function in the interval $\"\"$ is $\"\"$ .

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$\"\"$

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Find the velocity for the time period $\"\"$ .

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So the points in the interval $\"\"$ are $\"\"$ and $\"\"$ .

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Velocity in the interval $\"\"$

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$\"\"$

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$\"\"$ .

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Velocity of the function in the interval $\"\"$ is $\"\"$ .

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$\"\"$

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Graph:

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Graph the velocity function as follows

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Draw a step of amplitude 30 in the interval $\"\"$ as $\"\"$ .

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Draw a step of amplitude 0 in the interval $\"\"$ as $\"\"$ .

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Draw a step of amplitude 60 in the interval $\"\"$ as $\"\"$ .

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$\"\"$

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$\"\"$

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The graph of velocity function is

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$\"\"$ .