Question

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

Answer 1

The ratio is 1:3:5.

To get the formulas, we say

Using the two equations for constant acceleration:

1. s=ut+12at2

2. v=u+at

According to the ratio:

In the first second, u=0, t=1 s, a=−g, so s=−g/2 and v=−g.

In the second second, u=−g, t=1 s, a=−g, so s=−g−g/2=−3g/2 and v=−g−g=−2g.

In the third second, u=−2g, t=1 s, a=−g, so s=−2g−g/2=−5g/2 and v=−2g−g=−3g.

So the ratio of displacement is −g/2:−3g/2:−5g/2 or simply put 1:3:5