The smaller the curvature of a bend in a road, the faster a car can travel. Assume that the maximum speed around a turn is inversely proportional to the square root of the curvature. A car moving on the path y = 1/ 3x3, where x and y are measured in miles, can safely go 30 miles per hour at (1, 1 /3). How fast can it go at (3/ 2, 9 /8)?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter1: Equations, Inequalities, And Mathematical Modeling
Section1.1: Graphs Of Equations
Problem 9ECP
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The smaller the curvature of a bend in a road, the faster a car can travel. Assume that the maximum speed around a turn is inversely proportional to the square root of the curvature. A car moving on the path y = 1/ 3x3, where x and y are measured in miles, can safely go 30 miles per hour at (1, 1 /3). How fast can it go at (3/ 2, 9 /8)?

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