Precalculus

An object is attached to a coiled spring. The object is pulled down​ (negative direction from the rest​ position) 88 ​centimeters, and then released. Write an equation for the distance d of the object from its rest​ position, after t seconds if the amplitude is 88 centimeters and the period is 44 seconds.

The equation for the distance d of the object from its rest position is

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  1. period = 2π/k
    k = 2π/44 = π/22

    d = -88 sin ( (π/22)(t+11) )

    must be a magic coiled spring, it never seems to lose its bounce.

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