Solve the Problem $P = 0.1 [ 3 \cos ( 8 t ) - \sin ( 8 t ) ]$

Short Answer

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 the
time when the weight is at equilibrium. Find all values of $0 \leq t \leq 1$ 1, rounded to the nearest 0.01 second.