A body starts from rest with constant acceleration a it's velocity after n second is V. The displacement of body in last two seconds is- ?

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A body starts from rest with constant acceleration a it's velocity after n second is V. The displacement of body in last two seconds is- ?

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A body starts from rest with constant acceleration a it's velocity aft...

A particle starts from rest so, initial velocity of particle , u = 0

particle acceleration with constant acceleration a

So, particle must follow all kinematical equations .

I mean, S = ut + 1/2at^2

At u = 0, S = 1/2at^2

Here S is displacement during t time .

∴ displacement in last 2 sec = distance travelled in n sec- distance travelled in (n -2) sec

= = 1/2 an^2 - 1/2a(n -2)^2

= 1/2 a (n^2 - n^2 + 4n - 4)

= a (2n -2)

So, displacement in last 2 sec = a(2n - 2)

A/C to question,

Final velocity = v

Time = t

Acceleration = a

Then, use formula,

v = u + at

initial rest so, u = 0

v = a x n ⇒a = v/n

Now, displacement in last 2 sec = v/n(2n - 2) = 2v - 2v/n

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A body starts from rest with constant acceleration a it's velocity after n second is V. The displacement of body in last two seconds is- ?

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