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.)
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 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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