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. These questions refer to Lab 13A: Getting Distance From Velocity. Avi and Erin are moving across the country. Avi is driving a U-Haul with all of their furniture, while Erin is driving their car with their two cats. Erin and the cats leave at noon, starting slowly, then picking up speed and finally slowing back down. Avi leaves the parking lot at 1pm and drives at a constant rate of 50 miles per hour. The graph below shows the velocity functions over time for both Avi and Erin, with some regions shaded. (a) (Part 1b ) What does the area of one of the grid boxes on this graph represent (be sure to include the units)? Explain your reasoning. (b) (Part 2a) How far ahead is Erin when Avi starts driving? How is this shown on the graph? (c) (Part 2c) How is the distance between Avi and Erin changing at 3pm? At 6pm? (d) (Part 2d) If the shaded area before the point of intersection is exactly equal to the shaded area after the point of intersection, what happened at time T