# Projectile Motion

An object that is in flight after being thrown (projected) is called a projectile.**V**

_{o}that makes an angle Î¸

_{0 }with the x-axis.

After the object has been projected, the acceleration acting on it is that due to gravity which is directed vertically downward:

Or, a
The components of initial velocity are:

If we take the initial position to be the origin of the reference frame as shown in figure, we have:

x

Then,

Equation (viii) gives the x-, and y- coordinates of the position of a projectile at any time t in terms of two parameters-initial speed and projection angle

Notice that the choice of mutually perpendicular x-, and y-directions for the analysis of the projectile motion has resulted in a simplification. One of the components of velocity, i.e. x-component remains constant throughout the motion and only the y-component changes, like an object in free fall in vertical direction.

Or, a

_{x}= O, a_{y }= -gx

_{o}= 0, y_{o}= 0Then,

^{ }(viii)**Î¸**_{o}.Notice that the choice of mutually perpendicular x-, and y-directions for the analysis of the projectile motion has resulted in a simplification. One of the components of velocity, i.e. x-component remains constant throughout the motion and only the y-component changes, like an object in free fall in vertical direction.