Flight of an Osprey 

An observer in a fishing boat watched as an osprey dove un in its talons. The observer was able to record the flight of the osprey at watched as an osprey dove under water and re-emerged with a fish erver was able to record the flight of the osprey during this behavior and the data is recorded on the table below.

Time (s) Height (m) 10 4. 7. 0. 8. In this assignment you will create a presentation using ppt, video or other methods to present the flight of the osprey. You will answer in your presentation to the questions below. Use graphing technology (Graphing calculator, Desmos) to graph the functions below and place your graphs on your presentation. A key part of this presentation is to include the audience. You will be working in pairs to complete this assignment and as each one of you presents sections of the work done in this assignment, you will include questions and tasks so that the audience has an active participation. You can include questions, games. Question: Is the osprey traveling at its greatest speed when it hits the water? Complete the tasks below: 1. Plot the given data on graph paper. What type of function best models these data? 2. Without using graphing technology, determine an equation to model the data and state a suitable domain. 3. Describe the osprey's flight, making reference to your graph and equation. Include information about the time, its height, direction of flight, and relative rate of ascent and descent (faster/slower). 4. According to your model, how long was the osprey under water? Does this seem reasonable? Explain. 5. According to your model, when was the osprey more than 6 m above the water? 6. Use your model to estimate the rate at which the osprey height is changing at the time it hits the water. 7. Using tangent lines on your graph, do you think the rate you calculated in part 6 is the greatest at this point? Explain. 8. Check your results for part 6 using a graphing technology (graphing calculator, desmos) by creating a scatter plot, determining the equation of the curve of best fit, and using it to find the slope of the appropriate tangent line. 9. Use the graphing calculator and the graph you have created by hand to help you determine when the osprey's rate of change in height was greatest between 0 s and 8 s.