An object stretches a spring 6 inches in equilibrium. For all problems, use g=32\displaystyle {g}={32} ft/sec^2 or g=980\displaystyle {g}={980} cm/sec^2 or g=384\displaystyle {g}={384} inches/sec^2 depending on the situation.

(A) Find its displacement (in feets) for t>0\displaystyle {t}>{0} if it's initially displaced 3 inches above equilibrium and given a downward velocity of 6 inches/s

y(t)=\displaystyle {y}{\left({t}\right)}=  



(B) Find the frequency of the motion
ω0=\displaystyle \omega_{{0}}=  



(C) Find the period of the motion
T=\displaystyle {T}=  



(D) Find the amplitude of the motion
R=\displaystyle {R}=  



(E) Find the phase angle of the motion (in radian)
ϕ=\displaystyle \phi=