Write the solution to this ivp in the form yt r cosomega0

Question

The following initial value problem (IVP) represents a mass attached to a spring, which is in turn attached to the ceiling, without damping.

3. 2 y" + 80 y = 0

y(0) = -2

y'(0) = 15

a. Solve this IVP.

b. Write the solution to this IVP in the form y(t) = R cos(ω₀ t - θ) and give the amplitude, period, frequency, and phase shift of the resulting motion.