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

question 408

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 tallen a certain height is $v = \sqrt { 2 g h }$ , 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 30 feet. (Round to the nearest tenth.)

• A) \(1920 \mathrm { ft }\) per sec
• B) \(31.0 \mathrm { ft }\) per sec
• C) \(7.7 \mathrm { ft }\) per sec
• D) \(43.8 \mathrm { ft }\) per sec

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Definitions:

Autonomic Nervous System

The part of the nervous system responsible for controlling bodily functions not consciously directed, such as breathing, the heartbeat, and digestive processes.

Nerve Fibers

Extended fibers of neurons that conduct electrical signals across the body.

Axons

Long, threadlike parts of a nerve cell along which impulses are conducted from the cell body to other cells.

Dendrites

The branched projections from the neuron's cell body that receive neural impulses from other neurons and transmit them towards the cell body.