The motion of an oscillating weight suspended by a spring was measured by a motion detector. The data collected and the approximate maximum (positive and negative) displacements from equilibrium are shown in the figure. The displacement y is measured in feet, and the time t is measured in seconds.

(a) Is y a function of t? Explain.

(b) Approximate the amplitude and period of the oscillations.

(c) Find a model for the data.

(d) Use a graphing utility to graph the model in part (c).
Compare the result with the data in the figure.

Transcribed Image Text:

0.50- 0.25 ++ -0.25 y -0.50 (1.1, 0.25) 1.0 (0.5, -0.25) 2.0 t