A Weight Attached to a Spring Starts at Rest Be the Displacement, in Centimeters, from the Weight's Rest Position
A weight attached to a spring starts at rest. Let be the displacement, in centimeters, from the weight's rest position. We raise the spring above its rest position and release it at time , where is in seconds. The weight bobs up and down once every second for a few seconds. The amplitude of the spring's motion shrinks half every second. Give a model for the spring's motion.
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