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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 V0=4 m/s and So=20 m. At S=30 m, what is the acceleration of particle?

A
0.2 m/s2
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B
0.4 m/s2
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C
0.2 m/s2
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D
0.4 m/s2
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Solution

The correct option is D 0.4 m/s2
From S=So to S=2So, velocity is given by
V=VoSoS+2Vo
dVdt=VoSo(dSdt)
Accleration, a=VoSo(VoSoS+2Vo)=V2oS2o.S2V2oSo
a=V2oS2o.S2V2oSo
Accleration at S=30 m
a=(420)2×302×4220=0.4 m/s2

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