A graph of x verus t is shown in the figure given below. Choose correct alternatives 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,e)

Explanation

At point A, slope of graph is zero , so v = 0 .
At B , x - t graph is parallel to time axis , so v= 0 and a = 0 .
At C there is change in slope, so v and a vanish.
Between A and D , average velocity is negative .
Also , slope at `D gt ` slope at E .
So , speed at D will be more than at E.
So , speed at D will be more than at E .
The correct options are (a) , (c) and (e).