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Modeling a bouncing spring with negative cosine and finding height at given times
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Modeling a bouncing spring with negative cosine and finding height at given times
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A mass is supported by a spring so that it rests 50 cm above a table top, as shown in the diagram below. The mass is pulled down to a height of 20 cm above the table top and released at time t = 0. It takes 0.8 seconds for the mass to reach a maximum height of 80 cm above the table top. As the mass moves up and down, its height h, in cm, above the table top, is approximated by a sinusoidal function of the elapsed time t, in seconds, for a short period of time.
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Modeling a bouncing spring with negative cosine and finding height at given times
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