The smaller the curvature of a bend in a road, the faster a car can travel. Assume
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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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To determine the maximum speed at the point 32 98 on the path y 13x3 we need to find the curvature of the path at that point and apply the given relat...View the full answer
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Related Book For 
Calculus Of A Single Variable
ISBN: 9781337275361
11th Edition
Authors: Ron Larson, Bruce H. Edwards
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