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.

Options

A. `(2)/(n^(2))-(1)/(n)`
B. `(2)/(n^(2))+(1)/(n)`
C. `(2)/(n)-(1)/(n^(2))`
D. `(1)/(n)+(1)/(n_(2))`

Answer

C

Explanation

`(S_(N))/(S)=((1)/(2)a(2n-1))/((1)/(2)an^(2))=(2n)/(n^(2))-(1)/(n)-(1)/(n^(2))`.