A hose shoots water straight up to a height of 2.5 m. The opening end of the hose has an area of `0.75cm^(2)`. What is the speed of the water as it leaves the hose? How much water will come out in one minute?

Explanation

To solve the problem step by step, we will first find the speed of the water as it leaves the hose and then calculate the volume of water that comes out in one minute.

### Step 1: Calculate the speed of water as it leaves the hose

We know that the potential energy at the maximum height is equal to the kinetic energy at the point of leaving the hose. The formula for the speed (v) of the water as it leaves the hose can be derived from the conservation of energy principle:

\[
v = \sqrt{2gh}
...