Aparna drops a body of mass 'm' from the top of a tower and she found that it reaches the ground in 4 s. Another body of mass 10 m is dropped from the top of another tower and it reaches the ground in 8 s. Using this information she found the ratio of the height of the towers. What is the ratio of their heights?

Explanation

To find the ratio of the heights of the two towers from which the bodies are dropped, we can use the equations of motion. Here's the step-by-step solution:

### Step 1: Understand the problem
Aparna drops two bodies from two different towers. The first body of mass 'm' is dropped from the first tower and takes 4 seconds to reach the ground. The second body of mass '10m' is dropped from the second tower and takes 8 seconds to reach the ground. We need to find the ratio of the heights of the two towers.

### Step 2: Use the equation of motion
The equation of motion we will use is:
\[ H = U \cdot T + \frac{1}{2} A \cdot T^2 \]
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