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Q.

A body starts from rest with uniform acceleration a, its velocity after n seconds is v. The displacement of the body in last 3 s is (assume total time of journey from 0 to n second)

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a

6n-9nv2

b

6n-9n2v

c

2n+1n2v

d

n-1n2v

answer is A.

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Detailed Solution

v=an⇒a=vnNow, sn=12an2=12vnn2=vn2 and sn-3=12a(n-3)3=12vn(n-3)2∴ Displacement in last 3 s will be,s=sn-sn-3 =v2n-(n-3)2n =6n-9nv2
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