A 10 kg weight is attached to a spring with constant k = 40 kg/m and subjected to an external force F(t) = 630 sin(5t). The weight is initially displaced 3 meters above equilibrium and given an upward velocity of 2 m/s. Find its displacement for t > 0, where y is the displacement of the object from its equilibrium position, measured positive upward. Note: This is an application of previous week material on Undetermined Coefficients with the forcing function form a sin(bx) A cos(bx) + B sin(bx) y(t) = =

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