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If the acceleration A(t) of an object is inversely proportional to the square of its speed S(t); write the differential equation for the acceleration of the object. Do not solve. ds √S ds dt S² dS dt k √S ds kS² dt o A(t): = A(t) o A(t) = ○ A(t) = = || || = =

If the acceleration A(t) of an object is inversely proportional to the square of its speed S(t); write the differential equation for the acceleration of the object. Do not solve. ds √S ds dt S² dS dt k √S ds kS² dt o A(t): = A(t) o A(t) = ○ A(t) = = || || = =

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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If the acceleration A(t) of an object is inversely proportional to the square of its speed S(t); write the differential equation for the acceleration of the object. Do not solve. ds ○ A(t) = √S dt ds k • A(t) = dt 5² ds k o A(t) = dt √S o A(t) = ds kS² dt = = = =
Transcribed Image Text:If the acceleration A(t) of an object is inversely proportional to the square of its speed S(t); write the differential equation for the acceleration of the object. Do not solve. ds ○ A(t) = √S dt ds k • A(t) = dt 5² ds k o A(t) = dt √S o A(t) = ds kS² dt = = = =
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