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 have positive intercept but negative slope. So its equation can be written asv = -mx +vo----(i)  [where m = tanθ = voxo]By differentiating with respect to time we getdvdt= -mdxdt = -mvNow substituting the value of v from eq.(i) we getdvdt = -m[-mx+vo] = m2x-mvo   ∴ a = m2x-mvoi.e. the graph between a and x should have positive slope but negative intercept on a-axis. So graph (1) is correct.