PROJECTILE MOTION

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PROJECTIVE MOTION:
events where object moves under the influence of gravity and is not self powered.

A horizontal constant motion plus an accelerating vertical motion = parabolic motion (curved motion).



This diagram shows a ball that is thrown in a parabolic motion.

  As you can see from the above illustration, the velocity components are at different positions.

Vx, the velocity for the x component is constant because it's displacement is the same everytime and there is no acceleration, since it goes on in a continueous speed. Due to no air resistance, the velocity in the horizontal direction is constant.

The Vy factor that represents the y component is not constant. Vy1 is 0 because it is clearly shown when the ball is at it's peak height the Vy1 is 0 because there is a x vector which means there will not be a y vector. As the ball goes higher in the first half of the projectile, the Vy magnitude decreases and soon after it starts coming down on the second half of the projectile motion, it increases in magnitude in a negative direction. The change in Vy is due to gravity.


Solving projectile problems:

Look at the given values and split into x and y components.

X: ax = 0
     Vx = constant
     Dx = range/ horizontal displacement

Y: ay = -9.8 m/s2
    Vy = changing
    Dy = height/ vertical displacement

Remember that x and y component share only ONE same component which is TIME.
Tx = Ty

For X:
Dx = VxTx

For Y:
Use BIG 5 EQUATIONS ... Dy = Vyt + 1/2 at²