We have a hose pipe which disposes water at the speed of `1- ms^(-1)`. The safe distance from a building on fire, on ground is 5m. How high can this water go ? (take : `g=10 ms^(-2)`)

Explanation

To solve the problem of determining how high the water can go when discharged from a hose pipe at a speed of \(1 \, \text{m/s}\), we will use the principles of projectile motion. Here’s a step-by-step breakdown of the solution:

### Step 1: Understand the Problem
We have a hose pipe that discharges water at a speed of \(1 \, \text{m/s}\). The safe distance from a building on fire is \(5 \, \text{m}\). We need to find out how high the water can go when it is projected at this speed.

### Step 2: Identify Variables
- Initial speed of water, \(u = 1 \, \text{m/s}\)
- Horizontal distance from the building, \(x = 5 \, \text{m}\)
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