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A body starts from rest and moves with constant acceleration. The ratio of distance covered by the body in `nth` second to that covered in `n` second is.A. `(1)/(n)`B. `(2 n - 1)/(n^2)`C. `(n^2)/(2n - 1)`D. `(2n - 1)/(2 n^2)` |
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Answer» Correct Answer - B `S_n = u + (a)/(2)(2n - 1) = (a)/(2)(2n - 1)" "(because u = 0)` Total distance covered in `n` seconds `S = un + (1)/(2) an^2 = (1)/(2) an^2 , So (S_n)/(S) = (2n - 1)/(n^2)`. |
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