# Cubic Regression Model and Velocity

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The table below shows the position S, of a dust particle as it moves over the course of an hour. The time t is given in minutes and the position is in feet.

[TABLE]

Use your calculator's regression feature, to find the cubic model that gives the position S in terms of the minutes t. Round to 2 decimal places, if needed.

Use the position function from (a) to calculate the average velocity over the interval from

t = 2 mm to t = 4 mm. Show the work!

Use the shortcut rules to find the derivative s'(t)

Find s'(6) and write a sentence to explain the meaning of this quantity

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Solution:

The cubic ...

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