A particle starts from rest with uniform acceleration a, its velocity after n second is u. The displacement of the body in the last two seconds is:
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We know,
At t=nsec
sn=21an2
v2=2asn
=2a⋅21an2
=a2n2
∴v=an
∴a=nv ...(i)
Now, sn−sn−2=21a[n2−(n−2)2]
=21a[4n−4]
=2a(n−1) from (i)
sn−s(n−2)=n2v(n−1)
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