 This video is a short introduction to projectile motion First of all was a what is projectile motion projectile motion is any type of motion where is an object is traveling in more than one dimension, but is affected by exploration only in one dimension the easiest example for example is if I throw something in a Gravitational field gravity goes down if I throw it like this I'm moving in x and y direction However gravity is only acting in y direction. Therefore only have an exploration downwards in y direction Another possible case could be I'm shooting an electron into an electric field That is uniform and only goes in one direction then also this could be a form of projectile motion Now what can we do in projectile motion as in one demotion? We can do some graphs and We can also use some formal us to describe the form of In one demotion we have position time graphs The same thing in projectile motion. The only difference now is we have a x position time graph and we have a y position time graph so if I take the example of throwing an object In a gravitational field All my exploration if I put the x axis this way will be in downwards direction, so there is no exploration at my x Velocity will remain constant. Therefore I should Travel in x direction at a constant rate. So my graph will look something like this And my formula will look something like x as a function of time is Whatever my initial x position is plus my velocity in x times time in y direction It's a bit more complicated because now I have an exploration. So I will first go upwards Then we'll try and go backwards. There's some kind of a parabola That can be described by y as a function of time is my y initial plus my y Initial velocity times time plus one half a y times t squared With in my case with gravity a y equals minus nine point eight meters per second square if I'm on earth as an example Note that in x it's the same equation just in this case and the exploration x is zero Now the one thing that is new in Projectile motion is that we can also draw a y position versus x position Graph think of it. We're simply tracing where the object is Flying. So this is actually the trajectory of Trajectory of our object It will also look like some kind of parabola If you throw something you realize it looks like a parabola for something like this Note that put on purpose the peaks are at the same time because the x's are completely different So these two peaks do not have to be aligned. This is Y as a function of x and here you have r y as a function of time So the peaks do not have to be aligned and then the function itself what we want as an equation We want y is a function of x. So basically Some some some some some some x plus some some some some x square Equation itself in general form is a bit more complicated Basics that you have to be used of one of these for time and then plug time into the other one And you saw put everything with y on one side everything with x on the other side and you have your trajectory equation However, there are cases when it gets quite simple. For example, if you start at height zero or And I will get to that in later Video, but for now just use the x equations a function of time And the y equations a function of time as it allows it to solve actually most of the problems It will ever account with projectile motion