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A resistance R newtons to the motion of a car varies directly as the square of the speed S.

(A)write the equation conneting R and S
(B) given that R=25N and S=4.find S given that R=36

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  1. (A) R = k S^2

    (B) 25 = k * 16 ... k = 25/16

    S = √(R / k) = √[36 / (25/16)] = 6 / (5/4) = 24/5

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