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

Question

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

Answer 1

(A) R = k S^2

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

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