A graph of x versus t is shown in figure. Choose correct alternative from below.

Options

A. The particle was released from rest at ` t= 0`
B. At (B) the acceleration ` a gt 0`
C. At (C), the velocity and the acceleration vanish .
D. Average velocity for the motion between (A) and (D) is positive

Answer

A, C

Explanation

From graph , when ` t-0`, the particle is released from rest at (A), hence ` v=0`
As, (B) the graph is parallel to time axis hence velocity is constant there. Thus accleration (A) is zero. AT (C ), the graph changes slope, where velocity and accelerationn vanish. ltbRgt Average velocity for motion between (A) and (D) is negatve because the value of (x) is dectrasing with tiem (t0. The slope of graph (which represents speed) is more at (D) than at (E). Therefore, speed at (D) is more than that at (E)`.