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27 September, 20:54

Derivation for the distance travelled in the nth second, Sn = u + (n-1/2) a.

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  1. 27 September, 21:07
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    S nth = u + 2a (2n-1)

    In this problem, let us consider an object traveling with an initial velocity u and uniform acceleration a. Distance traveled in n seconds is given by Sn = un + 2 an2 (I) Distance traveled in (n-1) seconds is given by S sDistance traveled in nth second is n-1 = u (n-1) + a (n - 1) 2 (II)

    Snth = Sn - Sn-1 = un + s an2 - [u (n - 1) + ss a (n-1) 2 ] 2

    = un + an2-[un-u + an-an + 21 a]

    Ss (2n-1) nth = u + 2a (2n-1)
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