Solve the Problem $v$ In Feet Per Second of an Object (Neglecting Air Resistance)

question 9

Multiple Choice

Solve the problem.
-A formula used to determine the velocity $v$ in feet per second of an object (neglecting air resistance) after it has fallen a certain height is $\mathrm { v } = \sqrt { 2 g h }$ , where $g$ is the acceleration due to gravity and $h$ is the height the object has fallen. If the acceleration $g$ due to gravity on Earth is approximately 32 feet per second per second, find the velocity of a bowling ball after it has fallen 40 feet. (Round to the nearest tenth.)

• A) \(50.6 \mathrm { ft }\) per \(\mathrm { sec }\)
• B) \(35.8 \mathrm { ft }\) per sec
• C) \(8.9 \mathrm { ft }\) per sec
• D) \(2560 \mathrm { ft }\) per sec

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Definitions:

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.

Urine Volume

Urine volume is the total amount of urine excreted by the kidneys over a specified period, an important measure for assessing renal function and fluid balance.

Baroreceptors

Sensory nerve endings present in the walls of blood vessels and the heart that detect changes in blood pressure and help regulate it.

ADH Secretion

The release of Antidiuretic Hormone, which helps regulate water balance in the body by increasing water reabsorption in the kidneys.