1.

A body is moving from rest under constant acceleration and let `S_1` be the displacement in the first `(p - 1)` sec and `S_2` be the displacement in the first `p` sec. The displacement in `(p^2 - p + 1)` sec. will beA. `S_1 + S_2`B. `S_1 S_2`C. `S_1 - S_2`D. `S_1//S_2`

Answer» Correct Answer - A
From `S = ut + (1)/(2) at^2`
`S_1 = (1)/(2)a(P - 1)^2` and `S_2 = (1)/(2) a P^2" "["As" u = 0]`
From `S_n = u + (a)/(2) (2n - 1)`
`S_((P^2 - P + 1)^(th)) = (a)/(2)[2(P^2 - P + 1)-1]`
=`(a)/(2) [2 P^2 - 2P + 1]`
It is clear that `S_((P^2 - P + 1)^(th))= S_1 + S_2`.


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