Question

A body is moving from rest under constant acceleration and let S1 be the displacement in the first (p−1) sec and S2 be the displacement in the first p sec. The displacement in (p2−p+1)th sec. will be

Solution

The correct option is **B**

From S=ut+12at2

S1=12a(P−1)2 and S2=12aP2 [Asu=0]

From Sn=u+a2(2n−1)

SthP2−P+1=a2[2(p2−P+1)−1]=a2[2P2−2P+1]

It is clear that SthP2−P+1=S1+S2

From S=ut+12at2

S1=12a(P−1)2 and S2=12aP2 [Asu=0]

From Sn=u+a2(2n−1)

SthP2−P+1=a2[2(p2−P+1)−1]=a2[2P2−2P+1]

It is clear that SthP2−P+1=S1+S2

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