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nusoidal Functions) 135 study a Ferris wheel, with many carts arranged along the end circle of the Wheel. A cart at its Lerest point is 4 meters above the ground, and as that cart reaches its highest, it's at an altitude of 80 meters. Each cart can holds 60 people. ined For this Ferris wheel, build a math model as instructed below: a) If the wheel rotated one full circle every 9 minutes, use data in the table (right below) to sketch a sinusoidal graph which represents the position (height) of a cart in meters, as a function of time in minutes. Assume one cart at its lowest point at t = 0. Please graph). attempt to draw one complete cycle of the sine curve (sinusoidal Time (t: Height (h: minutes) metres b) Determine the equation for the sinusoidal graph in the form: h (t) = A sin(wt-do)+d 0 4 2.25 42 4.5 80 c) After the wheel starts rotating for 7 minutes, how high is the 6.75 42 cart? (we are tracking the height of the same cart) 9 4 d) Let's use a new stop watch, and now the instant t = 0 is when one cart is at its highest How many seconds after t = 0 does that cart first pass a height of 15 meters above the ground? (The answer can be round off to the nearest tenth of a second)