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Question

The velocity displacement graph of a particle moving along a straight line is shown in figure.

Then the acceleration displacement graph is.

A
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B
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C
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D
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Solution

The correct option is A
As per the question from the graph, we can write
υ=x+2
a=dvdt=dxdt=υ
υ=(x+2)=x2
Therefore,
At x=0 m we get,
υ=02=2 m/s
At x=1 m we get,
υ=12=1ms
At x=2 m we get
υ=22=0 m/s
The velocity displacement graph will be,

According to above calculations only (c) option justifies the equation.

Final Answer: (c)


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