Question

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. $1: 1: 1: 1$
• B. $1: 2: 3: 4$
• C. $1: 4: 9: 16$
• D. $1: 3: 5: 7$

Answer 1

Answer: (D)

$S _{ nth }= u +\frac{ a }{2}(2 n -1)$
$=0+\frac{ a }{2}(2 n -1)$
$S _{ nth } \propto(2 n -1)$
$\Rightarrow S _{1 st }, S _{2 nd }, S _{3 rd }, S _{4 th }$
$=[2(1)-1]:[2(2)-1]:[2(3)-1]:[2(4)-1]$
$=1: 3: 5: 7$