Without condensation, the water vapor could not turn into clouds and liquids then which means it could not fall back down through things like rain or hail. Eventually, all water on earth would then become water vapor and we wouldn't have any water in liquid form.
Answer:
Galileo is one of the most revolutionary scientists in terms of the novelty of his ideas.
He made great advances in the laws of motion and astronomical matters, as well as the creation of telescopes, making the first observations of the Moon, Venus and Jupiter satellites.
He supported Copernicus's idea that the earth revolves around the sun, which was a controversial idea for his time, and the reason why his books were banned because the idea that the earth was not the center of the universe was not yet a well received idea.
For his ideas he was persecuted by the Inquisition and accused of heresy, but he was a proud man and stayed true to his ideas .
A projectile motion is characterized by a motion whose path is alike to that of an arc. It already has its derived equations. For the maximum height H and the maximum range R, the equations are:
H = v₀²sin²θ/2g ; R = v₀²sin(2θ)/g
As you can observe, they are almost alike. Since they both contain v₀²/g, let's isolate this term for both equations:
v₀²/g = 2H/sin²θ
v₀²/g = R/sin (2θ)
Equating both equations:
2H/sin²θ = R/sin (2θ)
H = Rsin²θ/2sin(2θ)
This is the equation that relates H to R.
