A wooden roller coaster contains a run in the shape of a sinusoidal curve, with a series of hills. The crest of each hill is 106 feet above the ground. If it takes a car 1.7 seconds to go from the top of a hill to the bottom (4 feet off the ground), find a sinusoidal function of the form y =A sin (ot - ) +B that models the motion of the coaster train during this run starting at the top of a hill. ..... y sin (t+D+ (Simplify your answers. Round to the nearest thousandth as needed.)

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