Second part: preparing for Section 1.1 of Active Calculus Each section of our second textbook, Active Calculus, starts with a preliminary activity to get you thinking about the big ideas of the section. The following questions are a version of Activity 1.1.1 from the textbook. Imagine that you go up on the roof of Hodson Science Center. Standing at the edge of the roof, you throw a ball straight up in the air. A good model for the height of the ball is given by the formula s(t) = 64 - 16(t - 1)2. In the formula, t is the time since you threw the ball (measured in seconds). We write s(t) for the height of the ball at time t, measured in feet above the ground. 3. Use a computer graphing tool to make a graph of s(t) over the interval of t values between 0 and 3. I recommend trying the graphing calculator at https://desmos.com. (If you have questions about Desmos, I will be happy to answer them; note that Desmos always uses "x" for the independent variable, and so you will have to replace "t" with "x" in the formula to graph with Desmos.) Include a copy of the graph in your homework submission. If you know how, you may copy the graph into the main PDF file that you submit. You can also submit the graph as a separate file. 4. Judging from what you see in the graph, describe what happens to the ball between the time that you throw it and 1 second after you throw it? 5. Judging from what you see in the graph, describe what happens to the ball between 1 second after you throw it and 3 seconds after you throw it. 6. Judging from what you see in the graph, describe what happens at exactly 1 second after you throw it