Right over here zero, then we would start our x Now what would be the x position of this first scenario? Well if we make this position So it would look something like, something like that. Starts becoming more and more and more and more negative. Rates until you get right to that point right over there, and then we see the velocity So its position is going to go up but at ever decreasing Positive but decreasing velocity up until this point. And then what's going to happen? Well it's going to have Type of positive y position, maybe based on the height of So the salmon colored one, it starts off with a some So they all start in the exact same place at both the x and y dimension, but as we see, they all haveĭifferent initial velocities, at least in the y dimension. X direction stays the same because in all three scenarios, you have zero acceleration Just so you can see it, but once again the velocity And what about in the x direction? Well looks like in the xĭirection right over here is very similar to that one, so it might look something like this. Because you have thatĬonstant acceleration, that negative acceleration, so it's gonna look something like that. Get more and more negative once the individual lets go of the ball. So our y velocity is starting negative, is starting negative, and then it's just going to If we were to break thingsĭown into their components. Our initial y velocity? Well it would look something like that. In this third scenario, what is our y velocity, In the x direction here? It looks like this x initial velocity is a little bit more than this one, so maybe it's a little bit higher, but it stays constant once again. These two lines are the same because the rate ofĪcceleration is the same, even though you had aĭifferent starting point. To get more and more and more negative as time passes. But then we are going toīe accelerated downward, so our velocity is going Velocity in our y direction so it's going to be right over here. Now what would the velocities look like for this blue scenario? Well our velocity in our y direction, we start off with no It's going to decelerate in the x direction. That something willĭecelerate in the y direction, but it doesn't mean that Vectors into x and y components, you can treat themĬompletely independently.
Two-dimensional projectile motion like we're doing right over here is once you break down your One of the things to really keep in mind when we start doing Notice we have zero acceleration, so our velocity is just With no air resistance, well then it's just In the x direction? We see that it starts positive, so it's going to start positive, and if we're in a world So our velocity in this first scenario is going to look something, is going to look something like that. So our velocity is going toĭecrease at a constant rate. So the y component, it starts positive, so it's like that, but remember our acceleration Magnitude of its y component, and then this would be the This vector right over here, the head of it, and go to the left, and so that would be the Initial velocity vector that has this velocity at an angle and break it up into Velocity in the y direction for this first scenario? Well we could take our The acceleration due to gravity once the ball is actually With which you throw it, that doesn't somehow affect Here is going to be true for all three of these scenarios because the direction So it's just going to be, it's just going to stay right at zero and it's not going to change.
To be any acceleration or deceleration in the x direction. Now what about in the x direction? Well if we assume no air resistance, then there's not going Once the projectile is let loose, that's the way it's And if the magnitude of the acceleration due to gravity is g, we could call this negative g to show that it is a downward acceleration. We're going to assumeĬonstant acceleration.
Gravity will be downwards, and it's going to be constant. In the vertical direction? Well the acceleration due to Type of a laboratory vacuum and this person had maybeĪn astronaut suit on even though they're on Earth. We're assuming we're onĮarth and we're going to ignore air resistance. So let's first think about acceleration in the vertical dimension, acceleration in the y direction. Or even take out some paper and try to solve itīefore I work through it. So I encourage you to pause this video and think about it on your own Time graphs look like in both the y and the x directions. These initial velocity vectors, what would the acceleration versus time, the velocity versus time, and the position versus
To do in this video is think about for each of And here they're throwing the projectile at an angle downwards. They're not throwing it up orĭown but just straight out. The edge of a cliff on Earth, and in this first scenario, they are launching a Each of these pictures we have a different scenario.
0 kommentar(er)
