The top surface of a road is built in the shape of a parabola to allow water to drain away on either side. The road is 7.5 m wide and at a distance of 1 m from each edge the road needs to be 5 m high to allow drains to be fitted. Find the maximum height of the road. Round answer to 3 sig figs
The top surface of a road is built in the shape of a parabola to allow water to drain away on either side. The road is 7.5 m wide and at a distance of 1 m from each edge the road needs to be 5 m high to allow drains to be fitted. Find the maximum height of the road. Round answer to 3 sig figs
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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The top surface of a road is built in the shape of a parabola to allow water to drain away on either side. The road is 7.5 m wide and at a distance of 1 m from each edge the road needs to be 5 m high to allow drains to be fitted.
Find the maximum height of the road. Round answer to 3 sig figs
(You need an equation to solve this problem. Think about what coordinates you can use to create an equation.)
Transcribed Image Text:The top surface of a road is built in the shape of a parabola to allow water to
drain away on either side. The road is 7.5 m wide and at a distance of 1 m
from each edge the road needs to be 5 m high to allow drains to be fitted.
1 m
5 m
7.5 m
Find the maximum height of the road. Round answer to 3 sig figs
(You need an equation to solve this problem. Think about what coordinates
you can use to create an equation.)
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