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At Canada's Wonderland, a thrill seeker can ride the Xtreme Skyflyer. This is essentially a large pendulum of which the rider is the bob. The height of the rider is given for various times: Time(s) 0 1 2 3 4 5 6 7 8 9 Height(m) 55 53 46 36 25 14 7 5 8 15 Find the amplitude, period, vertical translation, and phase shift for this function. [Note: that the table does not follow the bob through one complete cycle, so some thought will be required to answer this question.] Determine the equation of the function in the form: h(t) = asin [b(t – c)] + d. How could the amplitude be determined without creating the graph or finding the function? What would the rest position of the pendulum be? What is the maximum displacement for this pendulum? The time for one complete cycle is the period. How long would it take to complete 15 cycles?
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