Hello /r/PhysicsStudents, I was wondering if you all could check my work and help me out a little.

I am taking a physics class and for our final project we have to do 3 things.

1. Find the velocity of water coming out of the spout on a fountain. It shoots out at a 68.5 degree angle (I measured this already).

2. Find the flow rate of the water coming out of the spout.

3. Find the power needed to operate the spout.

We also cannot interact with the water in any way.

The way I plan on tackling the problem is to measure the distance the water travels by taking a picture with a meter stick and using the x = v² *sin(2θ)/g equation and solving for velocity. I should be able to use this to find the flow rate (by measuring the radius of the spout), and then the power.

My question for you, /r/PhysicsStudents, is if there is another approach that you would take to find the answer so I can double check my work. I used an image I took of the fountain and found an equation that lined up with the water pretty well, but I didn't know how to use this because it would be an x-position vs. y-position graph, with no time element and I don't know how I would use the equation to find what I need.

Also, I am using this as an opportunity to learn how to use LaTeX to try and make the write-up as official looking as possible. If anyone has any articles that I could use as examples to base my write-up on, that would be appreciated.

Sorry for the long post, there are a lot of elements involved.