First slide

Rectilinear Motion

Question

A particle is moving in a straight line under constant acceleration. If the motion starts from rest, find the ratio of displacement in “n ^th" seconds to that in the n second

Easy

A

$n^{2}$
B

2n-1
C

( 2n-1)/n²
D

n

Solution

s = $\frac{1}{2}$ a n ²
s _n = a(n- $\frac{1}{} 2$ )
s _n =a(n-½) (1)
s= ½ an ^{2 (2)}
$∴$ s _n /s = (2n-1)/ n ²

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