Consider the mass-spring-damper system shown below, with mass m, spring constant k and damping coefficient c. At time t = 0, the mass is given an initial displacement of 1 unit above the equilibrium position, and an initial upwards speed of 8 units. quilibrium Mass-spring-damper system. The parameter values are m = 5, k = 100, c = 20. (a) For this mass-spring-damper system with the given initial conditions, the Laplace Transform of the displacement r(t) is given by Pi8 + po X(s) = s2 + as + B for constants p, po, a and B. Enter the following values, each correct to one decimal place. Po = a = (b) Using the inverse Laplace Transform, find the displacement z(t), in the form a(t) = e" (A cos(wt) + B sin(wt)). Enter the following values, each correct to one decimal place. B = (c) The system exhibits Select your answer (d) Enter the quasi-period T of the oscillations, correct to 3 decimal places. T