Question

The distances traversed during equal interval of time by a freely falling body from rest are in ratio

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

Answer 1

The correct option is A $1:3:5:7..................$

Answer (3)
Distance travelled in the $n^{th}$ second
$S_n=u+\frac{a}{2}(2n-1)$
If $u=0\Rightarrow S_n=\frac{a}{2}(2n-1)$
Hence, $S_1:S_2:S_3:S_4:\cdots =1:3:5:7$