The Height of an Object in Feet Above the Ground $y=f(t)$

question 12

Multiple Choice

The height of an object in feet above the ground is given in the following table, $y=f(t)$
.Make a graph of f(t) .On your graph , what does the average velocity over a the interval $0 \leq t \leq 3$
represent? $\begin{array}{cccccccc}t \text { (sec) } & 0 & 1 & 2 & 3 & 4 & 5 & 6 \\y\text { (feet) } & 10 & 45 & 70 & 85 & 90 & 85 & 70\end{array}$

• A)The average height between f(0)and f(3).
• B)The slope of the line between the points (0, f(0)), and (3, f(3)).
• C)The average of the slopes of the tangent lines to the points (0, f(0)), and (3, f(3)).
• D)The distance between the points (0, f(0)), and (3, f(3)).

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Definitions:

Rock Falls

A geological occurrence where rocks or debris fall freely from a cliff or hillside, often due to erosion or weathering.

River Terraces

Stepped platforms along a river valley, formed by the river cutting into its own floodplain or valley floor at different times, reflecting changes in water level or flow.

Soil Development

The process by which soil forms from the physical, chemical, and biological weathering of rocks and the accumulation of organic matter over time.

Temperature

A measure of the warmth or coldness of an environment or material, influencing geological processes.