Question

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

• A. $1:3:5:7...$
• B. $2:4:6:8...$
• C. $1:4:9:25...$
• D. $1:9:25:49...$
• E. $1:2:3:4...$

Answer 1

Answer: (A)

$1:3:5:7...$

We have, $S_n=u+\frac{g}{2}(2n-1)$
$S_1=0+\frac{g}{2}(2-1)$
$S_1=\frac{g}{2}$
$S_2=\frac{g}{2}(4-1)=\frac{3g}{2}$
$S_3=\frac{g}{2}(6-1)=\frac{5g}{2}$
i.e., $S_1:S_2:S_3=1:3:5$