Which graph shows the correct v-x graph of a freely falling body?

Step-by-step solution

For a body falling freely under gravity from rest, the initial velocity u = 0 and acceleration a = g . The equation of motion is v^2 - u^2 = 2as . Substituting u = 0 , a = g , and displacement s = x , we get v^2 = 2gx . This implies v = 2gx , which can be written as v = 2g x . This equation represents a parabolic relationship between v and x , specifically of the form v^2 x . The graph of v versus x is a parabola opening along the positive x -axis, starting from the origin (0,0) . Comparing this with the given opti