Q.

A graph of x versus t is shown in figure. Choose the correct alternatives given below

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a

At B, the acceleration a>0

b

The speed at D exceeds that at E

c

The particle was released from rest at t=0

d

Average velocity for the motion between A and D is positive

answer is A, D.

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Detailed Solution

1)As per the diagram, at point A the graph is parallel to time axis hence, v=dxdt=0. As the starting point is A hence, we can say that the particle is starting from rest. 

2)At B slope is zero , so velocity is zero and beyond point B slope is negative , so velocity is negative. Therefore at B a<0.

3) Between A and D direction of displacement vector is along negative x axis . Hence average velocity is negative .

 

4)From the graph it is clear that

                        slope at D>slope at E

Hence, speed at D will be more than at E.

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