Solve the Problem $$P = 4 \cos ( 4 t )$$

question 94

Essay

Solve the problem.
-A mass hangs from a spring which oscillates up and down. The position P (in feet) of the mass at time t (in seconds) is
given by $$P = 4 \cos ( 4 t )$$
For what values of $t , 0 \leq t < \pi$ , will the position be $2 \sqrt { 2 }$ feet? Find the exact values. Do not use a calculator.

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Definitions:

Time-and-motion Studies

A business efficiency technique combining the timing of work tasks with a study of the motions required to perform them, used to increase productivity.

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Simplifying work processes and structures to improve efficiency and reduce wastefulness.

Work Arrangements

The various formats and schedules under which employment can be structured, including full-time, part-time, remote, and flexible working hours.