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Question

The particle moves in rectilinear motion as given in the acceleration – displacement (as) curve shown in the figure. Determine the velocity after the particle has travelled 30 m, if the initial velocity is 10 m/s.


A
10 m/s
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B
40 m/s
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C
20 m/s
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D
60 m/s
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Solution

The correct option is C 20 m/s
As we know that,
a=vdvds
v10v dv=300ads
v10v dv= Area under as graph
[v22]v10=12×30×10=150
v2100=300
v=20 m/s

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