1. Suppose we have a spring with attached mass hanging from the ceiling' The vertical displacement of the mass from its equilibrium (where it sits while at rest) can be modeled by the equation y(t) : ('7nl(ll(i()s(0f) + csin(9t)). One can determine the coefficients (iJIJ' and F), by solving a differential equation which incorporates the mass, spring stiffness. friction and so on, or. we can determine these coefcients by studying some data given by its motion 1/\") The black curve is y(t), the position of the spring with respect to its equilibrilnn position. (b) Using the value for (1 found in part (a), and Without the use of calculus, show that |y(t)| S rJZI for all t Z W