Question

displacement in nth second

Answer 1

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here is your answer......



DERIVATION OF Sn = u + a/2 (2n–1)

The displacement of a body in nth second

Consider a body is moving with uniform acceleration in a straight line.

Let,

u = initial velocity

S = distance travelled

a = uniform acceleration

n = time period in seconds

v = velocity

As we know that the displacement,

S1 = un + 1/2 n² ––––––––––– (i)

If a body displaces S2 in (n–1) seconds

S2 = u(n–1) + 1/2 (n–1)² –––––– (ii)

The displacement of the body in nth second Sn expressed as the following:

Sn = S1 – S2 => Sn = [un + 1/2 n²] – [u(n–1)²]

=> Sn = u + a (n–1/2)

=> Sn = u + a/2 (2n–1)


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ANKITA❤️

Answer 2

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