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?

Given line has positive intercept but negative slope. So, its equation can be written as               v=-mx+v0 where, m=tanθ=v0x0                         …(i)By differentiating with respect to time, we get             dvdt=-mdxdt=-mvNow, substituting the value of v from Eq. (i), we get              dvdt=-m-mx+v0=m2x-mv0∴              a = m2x - mv0i.e. The graph between a and x should have positive slope but negative intercept on a-axis. So, graph (1) is correct.