A tunnel, in the shape of a parabola, is built under a road. The width of the tunnel, at the bottom, is 32 m. The height if the tunnel, at the center, is 10 m. There is 4 m of dirt between the top of the tunnel and the road travelling above it. Determine the equation of the parabola if;
a) the origin is on the road directly above the ton of the tunnel (round your numbers to 3 decimal places where necessary)
b) the origin is at the bottom right of the tunnel
c) Vehicles passing under the tunnel can get as close as 1.5 m from the "sides" of the tunnel. what is the maximum height a vehicle can be and still fit under the tunnel? (use your equation from "a")
a) the origin is on the road directly above the ton of the tunnel (round your numbers to 3 decimal places where necessary)
b) the origin is at the bottom right of the tunnel
c) Vehicles passing under the tunnel can get as close as 1.5 m from the "sides" of the tunnel. what is the maximum height a vehicle can be and still fit under the tunnel? (use your equation from "a")