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trig_graph_applications_hw2_key - PAP Pre Calculus Trig...

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-8 -6 -4 -2 0 2 4 6 8 0 5 10 15 time height (feet) PAP Pre Calculus Name ____________________ Trig Graph Applications Key 1. The graph shows the variation of the water level relative to mean sea level in Commencement Bay at Tacoma, Washington, for a particular 24-hour period. Assuming that this variation is modeled by simple harmonic motion, find an equation that describes the variation in water level as a function of the number of hours after midnight. t y 6 sin 6 π - = 2. A mass suspended from a spring is pulled down a distance of 2 ft from its rest position. The mass is released at time t = 0 and allowed to oscillate. If the mass returns to this position after 1 sec., find an equation that describes its motion. t y π 2 cos 2 - = 3. A Ferris wheel has a radius of 10 m, and the bottom of the wheel passes 1 m above the ground. If the Ferris wheel makes one complete revolution every 20 s, find an equation that gives the height above the ground of a person on the Ferris wheel as a function of time.
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