A strong gust of wind strikes a tall building, causing it to sway back and forth in damped harmonic motion. The frequency of the oscillation is 0.5 cycle per second, and the damping constant is c = 0.9. Find an equation of the form y = ke sin(wt) that describes the motion of the building. (Assume that k = 1, and take t = 0 to be the instant when the gust of wind strikes the building. Assume y begins increasing at t = 0.) y =