Vocabulary
projectile 
object moving through the air, either initially thrown or dropped, subject only to the effects of gravity 
tragectory 
the path of a projectile, which is parabolic in two dimensions 
projectile motion 
movement of an object through the air, subject only to the effects of gravity 
range 
the maximum horizontal distance a projectile travels 
launch angle 
The angle of a projectile’s initial velocity when measured from the horizontal direction. These angles are typically 90° or less 


Common Mistakes and Misconceptions
1.) Remember: What happens in the vertical direction does NOT affect the horizontal direction, and vise versa.
 An object's horizontal position, velocity, or acceleration does not affect it's vertical position, velocity, or acceleration. These variables are only related by t time.
2.) It's easy to forget that horizontal motion has constant velocity (and zero acceleration) while vertical motion has constant acceleration
 This means for projectile motion, the initial velocity in the xdirection will be the same as the final velocity in the xdirection, while the starting and end velocities in the ydirection will be different because of acceleration due to gravity.
3.) Make sure to define the coordinate axes and pay attention to the sign of the acceleration constant g.

How to Solve (Launched at an Angle)
1.) Draw a diagram of the scenario
 Make sure to label everything or Brian will be mad
2.) List our known and unknown variables
 Make a Tchart with an x and y column where you fill out the variables
3.) Break the motion into horizontal and vertical components parallel to the x and yaxes
 Motion in each dimension is independent of each other
4.) Solve for the unknowns in two separate motions  one horizontal and one vertical.
 Use the kinematic equations to solve. Usually, try to find time first because that will make everything easier. Time is the common variable between the x motion and y motion
When solving for the initial velocities, you have to use trig, so x would be the initial velocity times cosθ and y would be the initial velocity times sinθ



How to solve (Horizontal Projectiles)
1.) List our known and unknown variables
 make a tchart with an x and y column where you fill out the variables
2.) Break the motion into horizontal and vertical components parallel to the x and yaxes
 Motion in each dimension is independent of each other
3.) Solve for the unknowns in two separate motions  one horizontal and one vertical.
 Use the kinematic equations to solve. Usually try to find time first because that will make everything easier. Time is the common variable between the x motion and y motion

Tips (Horizontal Projectiles)
 Um just make sure to always find time first because that makes everything a lot easier. Usually, if you want to find time, the equation is D=Vit+(1/2)at
 Also, you usually know the initial and final velocities for the xaxis, so write that in the T chart. They should both be the same, so that means acceleration is 0. If there are any other variables that are given, write them in the T chart. As for the yaxis, acceleration should be 9.8 m/s^{2}. Again, time is the same for both x and y (unless it's some weird problem)
 The final velocity for y, when it reaches the vertex, is 0 m/s^2


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