IF a freely falling body covers halfs of its total distance in the last second of its journey. Find its time of fall

Explanation

To solve the problem of a freely falling body that covers half of its total distance in the last second of its journey, we can follow these steps:

### Step 1: Define the Variables
Let:
- \( n \) = total time of fall in seconds
- \( S \) = total distance fallen
- \( g \) = acceleration due to gravity (approximately \( 9.81 \, \text{m/s}^2 \))
- The distance covered in the last second, \( S_n \), is equal to half of the total distance \( S \).
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