I Functions Ferris Wheel Problem The height of a chair on a Ferris Wheel at time t seconds is shown on the graph. For example, when t = 2s, the height of the chair above the ground is about 3.7m. As time passes and the wheel rotates, the height of the chair will rise and fall in the form of a sinusoidal wave. Use the graph to answer the questions that follow. + 16 a. How long does the wheel take to make one complete rotation? b. Approximate the maximum height the chair will reach. Height Above Ground (m) A eril no c. Approximate the minimum height the chair will reach. d. What is the amplitude of this sinusoidal function? Time (seconds) e. Estimate the height at t = 4s and at t = 16s f. Write the equation of the Ferris Wheel function using the information obtained in questions a - e. Be sure to show all work below. g. Use the equation in question (f) to find the height of a chair after 40s and again after 64s. Modeling problem #2: 2. The formula I = 6.4 sin 120 t describes the current I amperes in an electrical circuit. The time in seconds is t. moldon leerWW ai a) What is the period? I smil is learMW shifa no b) What is the maximum current? c) How many cycles occur in one minute? Modeling problem #3: 3. At a particular location on the Atlantic coast a pier extends over the water. The height of the water on one of the supports is 5.4 feet, at low tide (2am) and 11.8 feet at high tide, 6 hours later. (Let t = 0 at midnight) a) Write an equation describing the depth of the water at this location t hours after midnight. Ca b) What will be the depth of the water at this support at 4 am