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Question

A  body is moving from rest under constant acceleration and let S1 be the displacement in the first (p1) sec and S2 be the displacement in the first p sec. The displacement in (p2p+1)th sec. will be 


Solution

The correct option is B
From S=ut+12at2
S1=12a(P1)2 and S2=12aP2      [Asu=0]
From Sn=u+a2(2n1)
SthP2P+1=a2[2(p2P+1)1]=a2[2P22P+1]
It is clear that SthP2P+1=S1+S2

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