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. `2/n+1/(n^(2))`

Answer

C

Explanation

distance covered `n^(th)` second is `(a)/(2)(2n-1)`
distance covered in n second `=1/2 an^(2)`
this implies ratio `=2/n-1/(n^(2))`