Write the Word or Phrase That Best Completes Each Statement $$P = 0.1 [ 3 \cos ( 8 t ) - \sin ( 8 t ) ]$$

Short Answer

Write the word or phrase that best completes each statement or answers the question.
Solve the problem.
-A weight is suspended on a system of spring and oscillates up and down according to $$P = 0.1 [ 3 \cos ( 8 t ) - \sin ( 8 t ) ]$$
where $P$ is the position in meters above or below the point of equilibrium $( P = 0 )$ and $t$ is time in seconds. Find th time when the weight is at equilibrium. Find all values of $t , 0 \leq t \leq 1$ , rounded to the nearest $0.01$ second.