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

Step-by-step solution

The v - x equation from the given graph can be written as v = ( - v 0 x 0 ) x + v 0 ... (i) a = d v d t = ( - v 0 x 0 ) d x d t = ( - v 0 x 0 ) v Substituting v from Eq. (i) we get, a = ( - v 0 x 0 ) [ ( - v 0 x 0 ) x + v 0 ] a = ( v 0 x 0 ) 2 x - v 0 2 x 0 Thus, a-x graph is a straight line with positive slope and negative intercept. Correct answer is