Galileo Galilei (1564-1642)

Galileo Galilei connected idealized motion with mathematical predictions that can be tested separately from everyday complications. In the Fourth Day of his Two New Sciences by Galileo Galilei, uniform horizontal motion and uniformly accelerated vertical motion combine into a parabolic trajectory. In modern notation, $x=v_{x}t$ and $y=y_0+v_{y}t-g{t}^2/2$ give $y=y_0+(v_y/v_x)x-g{x}^2/(2v_x^2)$ when $v_x\ne 0$. The conclusion relies on constant gravitational acceleration and neglecting air resistance. The Third Day develops the squared-time law and its inclined-plane experimental motivation.^[ref]

Physicist whose Two New Sciences by Galileo Galilei develops mathematical accounts of motion.

Galileo Galilei (1564–1642) was an Italian polymath who made significant contributions to a variety of fields including astronomy, physics, engineering, philosophy, and mathematics. He is often referred to as the "father of modern observational astronomy" and the "father of modern physics." Here are some key points about Galileo: 1. **Astronomy**: Galileo is best known for his improvements to the telescope and his astronomical observations.