Question

solve this pls..........

Answer 1

We know that velocity =displacement /time
And from the graph we get that it shows velocity
So slope =tan theta
TanVa/tan Vb
Tan 30/tan 60=1/root 3

Answer 2

We  know  that  in Displacement  time  graph. Slope  of  the  line  represents  the  velocity in that  time  period.

For  motion  O to A, slope  of  line OA,

v₁ = tan30°

v₁ = 1/√3

For  motion  O to B, slope  of  line OB,

v₂ = tan60°

v₂ = √3

Hence,

v₁/v₂ = (1/√3)/√3

v₁/v₂  = 1/3

Note:- Slope  of  a  line  is  given by  m = tanФ, where   Ф is the angle  between line  and  x- axis