A Ferris wheel at a local amusement park has a diameter of 40 meters and completes one full rotation every 5 minutes. The bottom of the wheel is 2 meters above the ground. A rider boards the Ferris wheel at its lowest point at time $t = 0$ minutes.
Propose a function that models the rider’s height, $h$ (in meters) above the ground as a function of time, $t$ (in minutes). Explain how the parameters in your function relate to the physical characteristics of the Ferris wheel.
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Create Free Account Log inThis is a free VCE Units 3 & 4 Mathematical Methods practice question worth 5 marks, testing your understanding of Modelling with Functions. It falls under Functions, relations and graphs in Unit 3: Mathematical Methods Unit 3. Submit your answer above to receive instant AI-powered marking and personalised feedback.
Extend introductory study of functions, algebra, calculus. Focus on functions, relations, graphs, algebra, and applications of derivatives.
Covers transformations, polynomial functions, power functions, exponential functions, logarithmic functions, circular functions, and combinations of these.
modelling of practical situations using polynomial, power, circular, exponential and logarithmic functions, simple transformation and combinations of these functions, including simple piecewise (hybrid) functions.
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