A chicken walks past the origin at to = 0 and moves in the positive direction at speed V. for At seconds. Then, a loud bang surprises her and she accelerates (still moving in the positive direction) with constant acceleration a for At2 seconds. A. Draw curves for position, velocity, and acceleration vs. time on vertically stacked axes as shown below, synchronizing the time between the graphs. Be sure to completely label the graphs. B. How far did she move in total? Solve completely symbolically in terms of given variables. Do not use numbers from Part C. Show all work. C. Find the total distance she traveled. Consider the case where V = 0.56 m/s, At = 3.5 s, a = 0.24 m/s and At = 2.8 s. Show all work. D. What is her final speed? Solve symbolically in terms of given variables and then insert values from Part C to find a numerical answer. Show all work.