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So this height right over here is eight meters per second. The distance we traveled is equal to one half udtave the initial velocity plus the final velocity.

We have to take it by half because a triangle is only half of tiiden rectangle. And I want to take a pause here. And we could break it down into this purple part. Let’s think about how we can set up a formula, derive a formula that, if we input time as a variable, we can get distance.

So if you go five meters per second times– so this is one second, two second, three second, four second. So this right up here is 13 meters per second. Essentially taking the average of these two things which would be someplace over here.

Afstand en Airbus A skal bruge til at lette. So I’m going to do it both, using the variables, and using the concrete numbers. So this is really– if you just took, this quantity right over here is just the arithmetic– I always have trouble saying that biilogi.

Gennemsnitlig hastighed for konstant acceleration.

I want to be clear these are vector quantities. And let’s multiply the one half times each of these things. If we’re already going five meters per second.

I just want to show you where some of these things that you’ll see in your physics class, some of these formulas, why you shouldn’t memorize them, and they can all be deduced.

The acceleration due to tuden ag is negative 9. Which is times our final velocity minus our initial velocity. Video udskrift What I want to do with this video is think about what happens gil some type of projectile, maybe a ball or rock, if I were to throw it straight up into tidsn air. Now let’s just say just for simplicity, let’s just say we start with an initial velocity, of five meters per second.

This right here is the average velocity.

## Gennemsnitlig hastighed for konstant acceleration

But we have to be very careful with this. If this was a curve or if the acceleration was changing, you could not do that. You divide that by 2. And then after four seconds we will be at 13 meters per second.

I want to do that in blue. Or two simple shapes. So s for this video is seconds.

## Deriving displacement as a function of time, acceleration, and initial velocity

It’s the arithmetic mean of these two numbers. The distance that we travelled. So let’s draw ourselves a little bit of a diagram here.

So these two terms, this term and this term will simplify to one half v i.

### Gennemsnitlig hastighed for konstant acceleration (video) | Khan Academy

And the change in velocity due to the acceleration. We factored the delta t’s out. The height here is my final velocity minus my initial velocity.