Q5: Small body is attached as shown at the lower end of small spring. If the mathematical model for free vibration is described by the initial value problem: my" +cy' + ky = 0 where (m is mass=2), (c is damping constant = 4) and (k is the spring modulus = 10). m a- Find out relation between displacement y and time t at initial conditions y(0)=2 and y'(0) = -4? b- Determine the small body velocity at time t=0.5 sec?