U=0,
a=g=10m/s
s=1/2gt^2
h/x=1/2gt^2
h=x/2gt^2
xt^2=2h/g
2h/g=T^2
T=√xt^2
T=y√x

Time of descent for a freely falling body

To determine the time of descent for a freely falling body, we need to consider the given information that the body takes 't' seconds to travel the first 1/x distance.

Understanding the problem

Let's break down the problem into smaller parts to understand it better.

1. The body takes 't' seconds to travel the first 1/x distance.
2. We need to find the total time of descent for the body.

Approach

To solve this problem, we can follow these steps:

1. Determine the time taken to travel the first 1/x distance.
2. Find the remaining distance that the body needs to travel.
3. Determine the time taken to travel the remaining distance.
4. Add the time taken in steps 1 and 3 to get the total time of descent.

Step 1: Time taken to travel the first 1/x distance

Let's assume the total distance that the body needs to travel is 'd'. The body takes 't' seconds to travel the first 1/x distance, which is given by:

Distance traveled in time 't' = d/x

Step 2: Remaining distance

The remaining distance that the body needs to travel is (1 - 1/x) times the total distance 'd', given by:

Remaining distance = (1 - 1/x) * d

Step 3: Time taken to travel the remaining distance

The time taken to travel the remaining distance can be calculated using the formula for freely falling bodies:

Time taken to travel remaining distance = sqrt(2 * distance / acceleration due to gravity)

Since the body is freely falling, the acceleration due to gravity can be considered as a constant value.

Step 4: Total time of descent

To find the total time of descent, we add the time taken in steps 1 and 3:

Total time of descent = Time taken to travel the first 1/x distance + Time taken to travel the remaining distance

Conclusion

In summary, to find the time of descent for a freely falling body, we need to determine the time taken to travel the first 1/x distance and the remaining distance. Then, we calculate the time taken to travel the remaining distance using the formula for freely falling bodies. Finally, we add the time taken in step 1 and step 3 to get the total time of descent.