Arc Length: Quiz
Problem 3
A snowboarder travels from one lip to the other of a parabolic pipe. How far does he go on each pass if the pipe is 24 meters wide at the top and 12 meters deep?
Answers, problem 3
Here is a cross sectional view of the pipe, placing the origin at the bottom.
The formula for the parabola is pipe(t) = t2/12. The length of each pass is the value of the integral
equal to approximately 35.495.