Question

How does Galileo Galilei's theories apply to a projectile problem?

Answer 1

Answer :-

Let's assume an activity for validating the theory of Galileo Galilei for the motion of projectile.

When Galileo investigated the motion of a projectile, he deflected the motion of a ball down a slope. In a range of experiments, Galileo investigated the relationships between distance covered and time taken, but he investigated horizontal and vertical distances separately.
Through these experiments, Galileo established that the motion of a projectile is a combination of constant horizontal velocity and vertical
motion, in which the projectile accelerates at a rate of 9.8 m/s^2.
This means that the horizontal distance travelled is proportional to t, the time taken; and provided the projectile is launched horizontally, the vertical distance travelled is proportional to t^2 Galileo did not have access to the algebra used today. He had to resort to writing about a diagram such as this. The curved line represents the path of the projectile
launched at b.The points i, f, h give the position of the projectile after equal time intervals.

Galileo's model allows the equations for motion in a straight line with constant acceleration,
s=(u+v)t/2 , v = u + at, and s = ut+1/2at^2
, to be applied separately to the horizontal and vertical motion of projectiles.
You will use these equations to predict the horizontal distance travelled by a
projectile launched horizontally with speed u.