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Projectile Motion
If an object is thrown vertically upwards, its subsequent motion can be predicted using the equations of motion for bodies moving with uniform acceleration (click here for worked example of this).  
 
If an object is thrown at some other angle, as shown below, we can still predict its motion using the same equations, as long as we use the vertical and horizontal components of the initial velocity of the object.  
 
   
The vertical component changes uniformly because of gravity.  
The horizontal component remains constant (if we ignore the effects of air resistance, which we will do here... because it makes things easier!).  
   
These two facts combine to give a trajectory which is a parabola.  
   
To calculate  
- the time taken (t) to reach maximum height  
- the maximum height reached  
we use the equations of motion (v = u + at, s = ut + ½at² etc) but the velocities "u" and "v" now refer to the vertical components of the initial and final velocities.  
   
NB The total time "in the air" is, of course, simply 2t  
   
To calculate the range of the projectile, first find the total time in the air and then use the fact that the horizontal component of velocity is constant.  
   
(click here for worked example of this)  
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