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And if we were to calculate it it is 9. So, we have the acceleration due to gravity. That would give us the area of this entire rectangle. But I want you to understand it it’s a completely intuitive formula, and it just comes out of the logical flow of reasoning that we went through in this video.
So if you go five meters per second times– so this is one second, two second, three second, four second. So my final velocity is going to be right over there. Viewing g as the value of Earth’s gravitational field near the surface. So hopefully that doesn’t confuse you. And we could break it down into this purple part. Because of this gil here, we know it is to the right.
Gennemsnitlig hastighed for konstant acceleration (video) | Khan Academy
But we have to be very careful with this. But it’s not always the assumption.
The other thing I want to make clear: So it’s just the area under this curve. Now I want to plot distance relative to time. Which is our ttiden velocity.
Every second that goes by we’re going to go two meters per second faster. Sorry, I’m having trouble changing colors today.
So this is our displacement. And once again, since this is positive, it is to the right. Area of a triangle is one half, times the base, which is four seconds, times the height, which is eight meters per second. So let’s just start with a simple example. So this is really– if you just took, this quantity right over here is just the arithmetic– I always have trouble saying that word.
Well, the area of this rectangle right here is our initial velocity, times our change in time. If I said the velocity is five meters per second, that means five meters per second to the right.
That’s the time that past. Let’s say that– and for the sake of this video just so I don’t have to keep saying this is the magnitude of the velocity, this is the direction of the velocity, et cetera, et cetera. Tidn starting at some initial velocity. So let’s draw ourselves a little bit of a diagram here.
And then after four seconds we will be at 13 meters per second. So my change in time is- let’s say we do this for a duration of four– I’ll just use s.
To do that I want to plot distance relative to time. So what has happened after four seconds? And let’s say if I have a negative number, which we won’t see in this video, let’s assume that I’m going to the left. So this is interesting. We also know the acceleration near the surface of the earth.
Gennemsnitlig hastighed for konstant acceleration
Kinematic formulas in one-dimension. And let’s simplify this a little bit. Once again when were are dealing with objects not too far from the center of the earth we can make that assumption. Right now we have something in terms of time, distance, and average velocity but not in terms of initial velocity and riden.
Deriving displacement as a function of time, acceleration, and initial velocity
When we start throwing things up into the air biokogi convention is if something is moving up it is given a positive value, and if it is moving down we give it a negative value. So this right up here is 13 meters per second. But even more importantly to see that they’re really just common sense ideas.
And we don’t just multiply the base times the height. Or I have a constant slope here. So this is my delta t. Or the time that has gone by.
One half times four is two, times eight is equal to 16 meters.