an object is moving along a straight line with the initial velocity u and constant acceleration a. what is the displacement of the particle in the nth second?
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Given : An object is moving along a straight line with initial velocity u and constant acceleration a.
To Find : displacement of the particle in the nth second?
Solution :
Sₙ - Sₙ₋₁
S = ut + (1/2)at²
= un + (1/2)a(n)² - (u(n-1) + (1/2)a(n-1)²)
= u + (1/2)a ( n² - (n - 1)²)
= u + (1/2)a (2n - 1)(1)
= u + (a/2)(2n - 1)
displacement of the particle in the nth second = u + (a/2) (2n - 1)
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