Suppose the Position Function of an Object Moving Along a Number

question 23

Essay

Suppose the position function of an object moving along a number line is given by s = f(t)=
+ 2
+ 5,where t is in seconds and s is in meters.
(a)Find the average velocity over the interval
.
(b)Find the velocity when t = 2.

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Definitions:

Perched Lake

A body of water situated above the normal water table, created by local, impermeable layers of rock or sediment.

Inflow

The process of water or other fluids moving into a particular area or system, contributing to the volume contained within.

Evaporation

The process by which water is converted from its liquid form to vapor, typically under the influence of sun and heat.

Limestone Aquifer

An underground layer of water-bearing permeable rock, typically limestone, which can store and yield significant quantities of groundwater.