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Question

Velocity (V) versus displacement (S) graph of a particle moving in a straight line is as shown in the figure. Given Vo=4 m/s and So=20 m.
Corresponding acceleration (a) versus displacement (S) graph of the particle would be

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
From S=0 to S=So velocity is given by,
V=VoSoSdVdt=VoSo(dSdt)
Acceleration, a=VoSo(VoSoS)
a=V2oS2o.S
aS
From S=So to S=2So, velocity is given by
V=VoSoS+2Vo
dVdt=VoSo(dSdt)
Accleration, a=VoSo(VoSoS+2Vo)=V2oS2o.S2V2oSo
At S=So, a=V2oSo and at S=2So, a=0
Hence, graph (a) is correct.

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