Question

Problem 47

Answer 1

Given information

We are given that, an object falling freely from rest.

Step-by-step explanation

Step 1.

According to Galileo's law of odd numbers, "the distance covered by a falling object in successive equal time intervals is linearly proportional to the odd numbers."

Let us divide the time interval of motion of an object under free fall into equal intervals and find out the distances traversed during successive intervals of time.

We know that,

 

Using this equation, we can calculate the position of the object after different time intervals,.

Alternatively, we can use which gives the distance traversed in second ( by a freely falling body, )

So the distance is directly proportional to where