Parabolic Motion

The Projectile or parabolic motion occurs due to two kinds of motion are executed simultaneously by a body. The two kinds of motion that are the rectilinear motion with constan velocity and the rectilinear motion.

The vertical motion of the body is a rectilinear motion with constant acceleration, i.e the acceleration due to the Earth gravity g. Whereas the horizontal motion the body is the rectilinear motion with constant velocity

1) Initial velocity component :

> On the x axis ( horizontal ) => Vox = Vo cos a

> On the y axis (vertical) => Voy = Vo sin a


2) The vertical and horizontal motion of the body is the uniformly

> rectingular motion => Vx = Vox and x = Vox

> accelerated motion => Vy = Voy - gt and y = Voy.t - 1/2 gt2

3) When the ball reaches its highest point, the vertical component of the ball velocity is equal to zero or Vy= O, and the highest point it applier Vy = Voy sin a - gt = O will ressult:

> The time needed to reach the highest point: tp = Vo sin a : g

4) Subtitution of equation tp = Vo sin a : g with Vy = Voy - gt will result :

> Maximum height, that is ymaks = Vo2 sin2 a : 2g

5) With various elevation angles, it will obtain varied maximum heights also. The greatest maximum is obtained at the elevation angle a = 90 degrees

> The maximum horizontal distance is xmaks = Vo2 sin2 a : g

For example Click at here