Question

The distances travelled by a body falling freely from rest in the first, second and third seconds are in the ratio:

• A. 1 : 2 : 3
• B. 1 : 3 : 5
• C. 1 : 4 : 9
• D. None of the above

Answer 1

The correct option is B 1 : 3 : 5

$u=0$
$h_1=\frac{1}{2}\left(g\right);h_2=\frac{4}{2}g;h_3=\frac{9g}{2}$
$\therefore$ Ratio of distances travelled in first, second and thirds seconds
$=h_1:(h_2-h_1):(h_3-h_2)$
$=\frac{g}{2}:(\frac{4g}{2}-\frac{g}{2}):(\frac{9g}{2}-\frac{4g}{2})$
$=1:3:5$