If a body starts from rest the time in which it covers a particular displacement with uniform acceleration is
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0
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 an² - 1/2a(n -2)²
= 1/2 a (n² - n² + 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 × n ⇒a = v/n
Now, displacement in last 2 sec = v/n(2n - 2) = 2v - 2v/n
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Answer:
Intial velocity U is = 0
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