A particle starts from origin O from rest and moves with a uniform acceleration along the positive x - a x i s . Identify all figures that correctly represent the motion qualitatively. ( a = acceleration, v = velocity, x = dispalcement, t = time) A B ( C ) ( D )

Step-by-step solution

A. Acceleration = constant; a v → t graph will be constant line parallel to time axis. Option A is correct. B. v = u + a t ; velocity vs time graph will be straight line passing through origin. Option B is correct. u = 0 ; initially at rest v = at C. X = 1 2 a t 2 (particle was initially at origin) v → t graph will be parabola passing through origin. Option D is correct.