The distances traversed, during equal intervals of time, by a body falling from rest, stand to one another in the same ratio as

Question

The distances traversed, during equal intervals of time, by a body falling from rest, stand to one another in the same ratio as (A) 1: 2: 3: 4: ldots (B) 1: 3: 5: 7: ldots ldots (C) 1: 4: 9: 16: ldots ldots (D) 1: 1: 2: 3: ldots ldots

Tardigrade Admin · Accepted Answer

This is known as Galileo’s law of odd numbers. <img class="img-fluid question-image" alt="image" src="https://cdn.tardigrade.in/img/question/physics/0044760c40042fcac76c3b5b8a922a7e-.png" />

Q. The distances traversed, during equal intervals of time, by a body falling from rest, stand to one another in the same ratio as

$1 : 2 : 3 : 4 : \dots$

$1 : 3 : 5 : 7 : \dots\dots$

$1 : 4 : 9 : 16 : \dots\dots$

$1 : 1 : 2 : 3 : \dots\dots$

This is known as Galileo’s law of odd numbers.

Q. The distances traversed, during equal intervals of time, by a body falling from rest, stand to one another in the same ratio as

1:2:3:4:…

1:3:5:7:……

1:4:9:16:……

1:1:2:3:……

This is known as Galileo’s law of odd numbers.

$1 : 2 : 3 : 4 : \dots$

$1 : 3 : 5 : 7 : \dots\dots$

$1 : 4 : 9 : 16 : \dots\dots$

$1 : 1 : 2 : 3 : \dots\dots$