Dr. Brown brings home Bojangles Chicken Supremes for lunch and sets them on a plate on the table. Dr. Brown's dog, Sammy, decides to steal Dr. Brown's dinner while he is not looking. Sammy starts off 1.5 m to the right of the plate and sneaks to the left at 0.5 m/s for 3 seconds after Dr. Brown walks away to go grab something before he eats. Sammy then pauses for 3 seconds as she grabs a Chicken Supreme off the dinner plate and devours it. She then realizes Dr. Brown sees what she has done and is coming to stop her so she darts at 2 m/s for 4 seconds to the right running directly into the wall and stuns herself. She sits there stunned for 2 seconds and then walks 1 m/s to the right for 3 seconds where Dr. Brown catches her. Assume your origin is the dinner plate and to the right is positive. 1. Using the written description above, a. Construct a graph of position vs. time. b. Construct a graph of velocity vs. time. c. Determine the displacement from t - 1.0 s to 7.0 s using only the position vs. time graph. Explain how you got your answer. d. Determine the displacement from t - 1.0 s to 7.0 s using only the velocity vs. time graph. Explain how you got your answer. (This is the same answer as c, but a different process) e. Determine the displacement from t-0.0 s to 15.0 s. Explain how you used the graphs to determine this value. f. Determine the distance traveled from t=0.0 to 15.0 s. Explain how you used the graphs to determine this value. g. Determine the average velocity from t = 0 s to 15 s. Explain how you got your