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Question

A particle is moving along a straight line whose velocity- displacement graph is as shown in Fig. What is the acceleration when the displacement is 3m?

242973_cd5f1f74695948ad952341d3f625aa90.png

A
4/3ms2
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B
33ms2
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C
3ms2
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D
43ms2
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Solution

The correct option is D 43ms2
We know slope of v-t graph is
ΔvΔt i.e., acceleration
so at
we know that acceleration a=vdvds
dvds= slope of v-s graph
at s=3m the slope is m=tan60o
so slope =m=dvds=3s1
acceleration =v×(3)=4ms(3)s1
a=43m/s2
Value =|a|=43m/s2

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