1.

A body is moving from rest under constant acceleration and let s1

Answer»

Displacement in first (P−1) sec,

S1=12A(p−1)2−−−(I)

Displacement in p sec,

S2=12ap2−−−−−(ii)

(Using, s=ut+12at2 and putting INITIAL velocity, u=0)


ADDING (i) and (ii)

S1+S2=12a(p−1)2+12ap2

=12a[2p2−2p+1]−−−−−−(a)

Displacement in (p2−p+1) th second is GIVEN by

S=12a[2(p2−p+1)−1]

=12a[2p2−2p+1]−−−−−
−(b)

From (a) and (b)
S=S1+S2


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