\(u(t)=-\dfrac{1}{12}\cos(8\sqrt{2}t)+\dfrac{1}{4\sqrt{2}}\sin(8\sqrt{2}t)\)
Tthe frequency \(w_0\) is \(8\sqrt{2}\ \dfrac{\mbox{rad}}{\mbox{s}}\)
The period \(T_0\) is \(\dfrac{\pi}{4\sqrt{2}}\) seconds.
The amplitude \(R\) is \(\dfrac{\sqrt{22}}{24} \mbox{ ft }\)
The phase angle of motion \(\delta\) is \(\arctan(-\dfrac{3}{\sqrt{2}})+\pi\) radians.