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Question

The 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. At what displacement do velocity and acceleration have the same magnitudes?


A
At S=5 m
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B
At S=10 m
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C
At S=30 m
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D
None of these
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Solution

The correct option is D None of these

For S=0 to S=So
V=VoSSo and a=V2oS2oS
If velocity and acceleration have same magnitudes,
V=aVo=So which is not possible with the given values of Vo and So.
For S=So to S=2So
V=VoSoS+2Vo=420S+2Vo
=S5+8
a=V2oS2o.S2V2oSo=(420)2.S2×4240
=S2585
If velocity and acceleration have same magnitudes,
V=aS5+8=S2585
S=40 m

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