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A Weight Attached to a Spring Starts at Rest dd Be the Displacement, in Centimeters, from the Weight's Rest Position

Question 93

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A weight attached to a spring starts at rest. Let dd be the displacement, in centimeters, from the weight's rest position. We raise the spring 21 cm21 \mathrm{~cm} above its rest position and release it at time t=0t=0 , where tt is in seconds. The weight bobs up and down once every second for a few seconds. The amplitude of the spring's motion shrinks bb half every second. Give a model for the spring's motion.

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