Lab 3: Skydiving and Derivam X + (- 9 C' i sfsu.instructure.com/courses/21221/assignments/300704 L': m '1': G {a}:- * 0 S Type or write your name and the names of the people in your group at the top of your lab write up. Each person will submit their own lab write-up, saved as a PDF to the online system. 1' (80 points) Demonstrate and Explain: Clearly and thoroughly explain your answers to these questions based on the work you did with your group on labs this week. Where needed, include graphs, tables, diagrams or screenshots from computer work in programs like desmos or geogebra. (a) Questions from Skydiving Lab i. (From 1a and b.) Show how to use the graph of the skydiver's height against time to estimate the velocity of the skydiver at t : 25 and t : 75. ii. (From 1d,) Show and explain how to use points from the graph to determine the values of a, m, and b in the piecewise function: at2 09530 s(t)= . mt+b 1ft230 iii, (From let) Use the function 5(t) and the difference quotient to compute an approximate value for 0(25), Compare this approximation to what you found in part at iv, (From c,) Sketch a graph (on well labeled axes) of the velocity of the skydiver over time. There should be a jump at t = 30' Explain why this happens 2. (10 points) Summarize: What do you think are the big ideas for calculus in the labs this week? What you want to remember from your work on these labs? Be sure to include denitions or examples of important vocabulary, 3 (10 points) Reect: Write a short reection (45 sentences or more) on how working on this lab went for you. a What worked well in collaborating with the members of your group? What could have gone better? a What could you try doing for the next lab to improve your learning? a What questions do you still have about the situations or functions in this lab that you would like to discuss more? Submit Assignme