A 0.1-kg mass is attached to a spring having a spring constant 3.6 kg/s^2. The system is allowed to come to rest. Then the mass is given a sharp tap, imparting an instantaneous downward velocity of 0.4 m/s. If there is no damping present, find the amplitude A and frequency ω of the resulting motion. A) Let x=0 be the position of the spring before the mass was hung from it. Find x(0). If x(t) is the displacement, then wouldn't x(0) = 0 since this is before the mass was hung from it? B) Solve this initial value problem and plot the solution. Once I figure out A, I am sure I can do B.