The displacement time graphs of two bodies `A` and `B` are shown in figure. The ratio of velocity of `A` to velocity of `B, v_(A)//v_(B)` is:

Options

A. `(1)/(sqrt(3))`
B. `sqrt(3)`
C. `(1)/(3)`
D. `3`

Answer

C

Explanation

For `A, (ds)/(st)= V_(A) = (1)/(sqrt(3))`
For `B,(ds)/(dt) = V_(B) = sqrt(3)`
`(V_(A))/(V_(B)) = (1)/(3)`.