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A particle starts from rest with unifor...

A particle starts from rest with uniform acceleration `a`. Its velocity after 'n' second is 'v'. The displacement of the body in the last two second is

A

`(2v(n-1))/n`

B

`(v(n-1))/n`

C

`(v(n+1))/n`

D

`(2v(2n+1))/n`

Text Solution

Verified by Experts

The correct Answer is:
A
distance travelled in last 2 seconds.
`S_(2)=ut+1/2 at^(2)`
=2a(n-2) +2a
=2a(n-1)
Also `(v)/(n)=a`
`rArr s=2xxv/n(n-1)`
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