Modeling Ride Velocity with Polynomial Functions

Miacademy & MiaPrep Learning Channel

This video lesson explores the practical application of polynomial functions by modeling the velocity of a drop tower amusement park ride called the "Sky Plunge." The host guides viewers through the process of using graphing technology to visualize a complex polynomial function, shifting the focus from abstract equations to real-world data interpretation. The narrative distinguishes clearly between speed and velocity, using the ride's upward and downward motion to explain positive and negative velocity values. Key themes include the graphical analysis of polynomial functions, the physical concepts of velocity versus speed, and the interpretation of key graph features like x-intercepts and relative maxima in a real-world context. The video specifically addresses the common misconception that a motion graph always represents height, clarifying that the function models velocity over time. For educators, this video serves as an excellent bridge between Algebra 2/Precalculus and Physics. It provides a concrete example of how finding roots (x-intercepts) and extrema (relative maximums) helps answer specific questions about a physical system, such as "how fast was it going?" and "when did it stop rising?" It encourages the use of graphing calculators or software to handle messy, real-world numbers.