The smaller the curvature in the bend of 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 = 1/3x^3 (x and y are measured in miles) can safely go 30 miles per hour at (1, 1/3). How fast can it go at (9/4, 243/64)? (Round your answer to two decimal places.)
The smaller the curvature in the bend of 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 = 1/3x^3 (x and y are measured in miles) can safely go 30 miles per hour at (1, 1/3). How fast can it go at (9/4, 243/64)? (Round your answer to two decimal places.)
Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter2: Graphical And Tabular Analysis
Section2.1: Tables And Trends
Problem 1TU: If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per...
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The smaller the curvature in the bend of 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 = 1/3x^3 (x and y are measured in miles) can safely go 30 miles per hour at (1, 1/3). How fast can it go at (9/4, 243/64)? (Round your answer to two decimal places.)
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