Graph the Function Over a One-Period Interval $\mathrm { t }$

question 96

Multiple Choice

Graph the function over a one-period interval.
-Ignoring friction, the time, $\mathrm { t }$ (in seconds) , required for a block to slide down an inclined plane is given by the formula $t = \sqrt { \frac { 2 b } { g \sin \theta \cos \theta } }$ where $b$ is the length of the base in feet and $g = 32.2$ feet per second is the acceleration of gravity. How long does it take a block to slide down an inclined plane with a base of 12 feet at an angle of $48 ^ { \circ }$ ? Round your answer to three decimal places.

• A) \(0.866 \mathrm { sec }\)
• B) \(6.947 \mathrm { sec }\)
• C) \(1.224 \mathrm { sec }\)
• D) \(0.353 \mathrm { sec }\)

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Definitions:

Consistent

Marked by harmony, regularity, or steady continuity; free from contradiction.

Truth Tables

A table used in logic to determine whether a proposition is true or false for all possible logical variable combinations.

Conjunction

A logical operator that connects two statements or propositions, where the truth of both is required for the entire statement to be true.

Consistent

Describes a system or behavior that does not contain contradictions and adheres to the same principles, standards, or patterns over time.