The largest, longest and highest roller coaster in the world is the "Colossus" in Los Angeles. The longest straight section of "Colossus" goes through a horizontal distance of 330m and the shape of the roller coaster along this section may be represented by a 4th degree polynomial function.
At the start of this section of the "Colossus", its height off the ground is 150m (assuming we going from left-to-right). 60m Horizontally along, the "Colossus" has dipped to a height of just 30m. It peaks again at a horizontal distance of 180m and features another dip at a horizontal distance of 300m.
The question is:
Using metres as your units use calculus methods to find the function that describes the curve of this section of the "Colossus"
You need to use simultaneous equations.
Thank you in advance.