Water is filled to a height in a long container. From what height below the free surface a hole should be bored in the wall of a container so that the horizontal range is maximum?

Explanation

To solve the problem of determining the height below the free surface from which a hole should be bored in a container filled with water to maximize the horizontal range of the water jet, we can follow these steps:

### Step 1: Define the Variables
Let:
- \( H \) = height of water in the container from the bottom to the free surface.
- \( h \) = height below the free surface where the hole is bored.
- Therefore, the height from the bottom of the container to the hole is \( H - h \).

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