The Speed of a Runner Increased Steadily During the First $t(\mathrm{~s})$

question 8

Short Answer

The speed of a runner increased steadily during the first three seconds of a race. Her speed at half-second intervals is given in the table. Find a lower estimate for the distance that she traveled during these three seconds. $t(\mathrm{~s})$ 0 $0.5$ $1.0$ $1.5$ $2.0$ $2.5$ $3.0$ $(\mathrm{ft} / \mathrm{s})$ 0 2.8
3.5
6.9
8.2
12.2
16.3

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Definitions:

Urine Osmolality

A measure of the concentration of solutes in urine, which can provide insight into the body's water balance and kidney function.

Urine Volume

The total amount of urine excreted by the kidneys over a specified period, an important indicator of kidney and overall fluid balance.

ADH

Antidiuretic hormone, also known as vasopressin, which helps regulate water balance in the body by increasing the uptake of water in the kidneys.

Natriuretic Hormone

Hormones, such as atrial natriuretic peptide, that help to regulate fluid balance and blood pressure by increasing the excretion of sodium and water from the kidneys.