A small block slides without friction down an iclined plane starting form rest. Let `S_(n)` be the distance traveled from time `t = n - 1` to `t = n`. Then `(S_(n))/(S_(n + 1))` is:

Options

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

Answer

A

Explanation

`(S_n)/(S_n + 1) = (u + 1/2 a(2n -1 ))/(u + 1/2 a{2(n+1) - 1})`
` = (1/2 a (2n - 1) )/(1/2 a (2n + 1))`
` = (2n -1)/(2n + 1)`