A body initially at rest starts moving along the x-axis. Its acceleration-versus-displacement graph is shown. The maximum velocity of the particle is:

Question

G1 Physics · Accepted Answer

Use v dv/dx=a(x). Starting from rest, v²/2=∫a dx. The area under the shown a-x triangle up to the point where acceleration becomes zero is 1/2, so v²=1 and maximum speed=1 m s⁻¹. Hence option A.