A particle starts from origin O from rest and moves with uniform acceleration along the positive x-axis. Identify the figure(s) that do not correctly represent the motion qualitatively. Here a=acceleration, v=velocity, x=displacement, t=time.

Question

G1 Physics · Accepted Answer

For uniform acceleration from rest, a-t must be horizontal, v-t must be a straight line through origin, and x-t must be parabolic (x∝t²). The shown figure (c) is not consistent with x∝t²; the others are qualitatively correct. Hence option C.