The motion of a mass m attached to a spring with spring constant k is governed by the following ODE in 1D: X = -wax ..where x is the displacement of the mass from equilibrium, and w =\\k/m gives the angular frequency of the oscillation. (a) Consider a mass of m = 0.1 kg attached to a spring with k = 100 N/m. Suppose the specific solution for the motion of the mass is x(t) = (0.1) cos (wt) + (0.2) sin (wt) where all variables constants are in the relevant SI units. From this, what were the initial conditions x(0) and v(0)? Be sure to include units! (b) The motion of the oscillator can be equivalently expressed in complex (phasor) form as: x(t) = rei(wt+p) where r is the amplitude of the oscillation and 4 is the phase. Convert your answer to (a) to this form. In other words, find the values of the constants ran Q. Again, include units! (c) , When you choose to represent the motion in the form of (b), the (real) displacement of the oscillator is given by Re [x (t)]. Similarly, the velocity (which must also be real) would be given by: v(t)=Re [d/dt x(t)] Plug your values of r and