Due iuesday May 15 Task Select a realworld scenario that can

Due iuesday, May 15 Task: Select a real-world scenario that can be modeled by transforming the graphs of sine or cosine. Afte collecting your data or carefully describing your scenario, graph your data and determine the parameters your sine and/or cosine model. Using your model, make predictions beyond your original data. Task Specific Clarifications: Choose a real-life scenario that has a repeating pattern and can be modeled with sine or cosine. Collect or record data on a measurable variable that will repeat as the cycle reoccurs ldeally your data should not be perfect Identify its amplitude, period, primary axis, units, and starting point for your model. Display your data in a table and a graph. Successfully create a relevant model (sine or cosine equation) that represents the overall pattern your data. Use your model to make predictions beyond your initial data setscenario. Explain the accuracy of your predictions and any limiting factors. Explain how your model makes sense to make predictions in and beyond your original data set/scenario. ? a O O Categories of periodic/cyclical/repeating scenarios Things to move in circles at constant-speed-motion Things that move up and down, side-to-side, or back and forth regularly Things that increase and decrease regularly Criterion D: Applying mathematics in real-life contexts

Solution

Part (a): Things to move in a circles at constant speeds

Think of a Meery Go Round which is being rotated at a constant speed. Now think of a boy/girl standing on it. This seems to be the best example of something going in circles at constant speed.

Part (b): Things that move up and down, side to side or back and forth regularly

Think of a spring that has been suspended in an enironment with zero air resistance(vacuum) and has been stretched and then left to oscillate. It would continue to move up and down periodically. For side to side and back and forth motion, think of a clock pendulum.

Part (c): Things that increase and decrease regularly

Again, think of a weight suspended with a string. As it it given an impulse, it oscillates and then dies down. Again, when hit, it begins to oscillate to eventually die down. I hope this helps.