A study of average driver speed on rural highways by A. Taragin† found a linear relationship between average speed S, in miles per hour, and the amount of curvature D, in degrees, of the road. On a straight road (D = 0), the average speed was found to be 46.26 miles per hour. This was found to decrease by 0.746 mile per hour for each additional degree of curvature. (a) Find a linear formula relating speed S to curvature D. S(D) = (−0.746)D+46.26 (b) Express using functional notation the speed for a road with curvature of 17 degrees. S( )
A study of average driver speed on rural highways by A. Taragin† found a linear relationship between average speed S, in miles per hour, and the amount of curvature D, in degrees, of the road. On a straight road (D = 0), the average speed was found to be 46.26 miles per hour. This was found to decrease by 0.746 mile per hour for each additional degree of curvature. (a) Find a linear formula relating speed S to curvature D. S(D) = (−0.746)D+46.26 (b) Express using functional notation the speed for a road with curvature of 17 degrees. S( )
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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A study of average driver speed on rural highways by A. Taragin† found a linear relationship between average speed S, in miles per hour, and the amount of curvature D, in degrees, of the road. On a straight road (D = 0), the average speed was found to be 46.26 miles per hour. This was found to decrease by 0.746 mile per hour for each additional degree of curvature.
(a) Find a linear formula relating speed S to curvature D.
S(D) =
(b) Express using functional notation the speed for a road with curvature of 17 degrees.
S( )
Calculate that value. (Round your answer to two decimal places.)
mph
S(D) =
(−0.746)D+46.26
(b) Express using functional notation the speed for a road with curvature of 17 degrees.
S( )
Calculate that value. (Round your answer to two decimal places.)
mph
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