Harmonic MotionThe displacement from equilibrium of an oscillating weight suspended by a s...

Harmonic Motion

The displacement from equilibrium of an oscillating weight suspended by a spring is given by y(t) = 3 sin(πt/4), where y is the displacement (in feet) and t is the time (in seconds).

(a) Complete the table.

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(b) Use the table feature of a graphing utility to determine when the displacement is maximum.

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(c) Use the table feature of the graphing utility to approximate the time t (0 < t < 8) when the weight reaches equilibrium.