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If the acceleration A(t) of an object is proportional to the square root of its speed S(t); write the differential equation for the acceleration of the object. Do not solve. o A(t) = d ds o A(t) = = dt o A(t) A(t) = dS dt = ds dt √S √S = : ks² = k√S

If the acceleration A(t) of an object is proportional to the square root of its speed S(t); write the differential equation for the acceleration of the object. Do not solve. o A(t) = d ds o A(t) = = dt o A(t) A(t) = dS dt = ds dt √S √S = : ks² = k√S

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 proportional to the square root of its speed S(t); write the differential equation for the acceleration of the object. Do not solve. o A(t) = o A(t) = ds dt ds dt = || - √S k √S ds o A(t) = = ks² dt ○ A(t) = d = k√√S dt
Transcribed Image Text:If the acceleration A(t) of an object is proportional to the square root of its speed S(t); write the differential equation for the acceleration of the object. Do not solve. o A(t) = o A(t) = ds dt ds dt = || - √S k √S ds o A(t) = = ks² dt ○ A(t) = d = k√√S dt
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