The Function $y = - \frac { 1 } { 24 } \sin ( 24 \pi t )$

question 71

Essay

The function $y = - \frac { 1 } { 24 } \sin ( 24 \pi t )$ models the displacement of an object moving in simple harmonic motion, where y is measured in inches and t in seconds. Find the amplitude, period, and frequency of motion and sketch a graph of the function over one complete period.

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Definitions:

Distractions

Items or events that draw attention away from the task at hand, potentially reducing productivity or focus.

Productivity

The measurement of efficiency in which goods and services are created and delivered, often gauged by the output per unit of input.

Work Sharing

An employment strategy that reduces work hours for a group of employees as an alternative to layoffs, aiming to distribute available work during downturns.

Labour Costs

Expenses related to compensating employees, including wages, salaries, benefits, and payroll taxes, significant for budgeting and financial planning.