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2.Motion in Straight Line
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The ratio of the distances travelled by a freely falling body in the $1^{\text {st }}, 2^{\text {nd }}, 3^{\text {rd }}$ and $4^{\text {th }}$ second :
A
$1: 4: 9: 16$
B
$1: 3: 5: 7$
C
$1: 1: 1: 1$
D
$1: 2: 3: 4$
(NEET-2022)
Solution
$S _{ nth }= u +\frac{ a }{2}(2 n -1)$
$=0+\frac{ a }{2}(2 n -1)$
$S _{r th } \propto(2 n -1)$
$\Rightarrow S_{1 s }, S _{2 ed }, S _{3 ed }, S _{\text {4th }}$
$=[2(1)-1]:[2(2)-1]:[2(3)-1]:[2(4)-1]$
$=1: 3: 5: 7$
Standard 11
Physics
