PARABOLA SHAPED TUNNEL

PROVIDE WORK AND EXPLANATIONS FOR ALL PROBLEMS Below is the tunnel entrance that runs through Castle Hill in Budapest, Hungary. & IDEE) 1. If the maximum height of the tunnel is the same as its maximum width, 9.8 meters... a. Determine a quadratic model to represent the tunnel. Provide the graph and equation.. b. State a geometric model (shape with dimensions) that could be used to represent a truck passing through the tunnel. 2. If a typical truck has a width of 2.62 m, determine the height limitation that should be put on these trucks if they are going to travel through the tunnel safely. State any assumptions that you made and be sure to show all of the steps in your solution. 3. Because its length is almost 350 meters, a truck stopped in the tunnel would need enough room for the passenger door to open fully. Suppose a truck with a width of 2.62 m and height of 3.4 m is stuck in the right lane of the tunnel by the center line. The top of the driver's door is 0.2 m below the top of the truck, and the door opens 0.8 m to the side. Show that the door can open fully, showing all of your steps. 4. Determine how close to the side of the tunnel could the truck in #3 be and still be able to open the passenger door