Related Rates FUN Exploration! Exploring Related Rates with Dancing and Balloons... Note: Print this Exploration out and write on it, writing your work with pen/pencil on it, and then scan/upload it into the hand-in box as a single word doc or pdf, as usual. lNSTRUCTlONS (follow each line carefullyl): ACTIVITY PART I: Dancing Like a Star! A. Go to the site: https:[[ggbm.at/bebpan (it may take a few moments to load, so please be patient) B. Click on the \"Play\" button in the lower left-hand corner. (Note: lfyou need to RESET at any point, it's the button in the top right corner.) 0. Answer the following questions: a. The red segment will always be longer than the green segment. Why? b. What is the rate of change of the green segment, in meters/sec? (This is given on the GeoGebra Applet.) c. What is the length of the green segment at t = 3 seconds? do What is the length ofthe red segment at t = 3 seconds? e. What is the rate of change of the red segment at t = 3 seconds? f. Which segment, red or green, grows at the fastest speed? (Why? Justify your answer.) Page2/4Q+ g. At what time will the segments theoretically grow at exactly the same speed