Well, last Sunday I had too much time, so I did some maths and developed some formulas to estimate your start velocity and your reach.
I did this, because I always wondered how far I get and how fast it is.
When you want to know all this, you only have to know how long your stone is in the air. So one person shoots and a second person stops the time.
Then set in your time in the following formulas.
(t) means stopped time.
All calculations are made without air/wind. The ground is plain.
I made this calculations for 45 degree, straight up in the air, and for all angles.
Straight up in the air:
velocity at the start (in meters per second) = 9.81*(t)/2
maximal height (in meters) = 9.81/4*(t^2)-9.81/8*(t^2)
45 degree:
velocity at the start (in meters per second) = √(2) * 9.81*(t)/2
travelled distance (in meters) = 9.81/2*(t^2)
maximal height (in meters) = 9.81/4*(t^2)-9.81/8*(t^2)
For all angles:
velocity at the start (in meters per second) = 9.81*(t)/(2*sin(α))
travelled distance (in meters) = 9.81*(t^2)/(2*tan(α))
maximal height (in meters) = 9.81/4*(t^2)-9.81/8*(t^2)
If you want to convert "meters per second" in "kilometers per hour" just multiply by 3.6 and you got it.
I hope there aren't any mistakes
Enough physics for today.
Your Teg