The given graph shows the variation of velocity with displacement. Which one of the graphs given below correctly represents the variation of acceleration with displacement ?

Options

A.
B.
C.
D.

Answer

B

Explanation

`tantheta=(v_(0)-v)/x=(v-0)/(x_(0)-x)`
`v_(0)x_(0)-v_(0)x-v x_(0)+vx=vx`
`v=v_(0)-v_(0)/x_(0)x`
`(dv)/(dx)=-v_(0)/x_(0)`
`a=v(dv)/(dx)=(v_(0)-v_(0)/x_(0)x)v_(0)/x_(0)=v_(0)^(2)/x_(0)-(v_(0)/x_(0))^(2) x`
a-x graph will be straight line, -ve slope and +ve intercept.