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:

Normal Random Variable

A variable that follows a normal distribution in its value distribution.

Standard Deviation

A measure of the amount of variation or dispersion in a set of values, indicating how spread out the numbers are from the mean.

Mean

The arithmetic average of a set of values, calculated by adding all the values together and then dividing by the number of values.

Standard Deviations

An indicator of how much the values in a collection differ from each other.