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So this is my velocity axis and this over here is my time axis. You have five meters biolgi second, plus four seconds, plus– I want to do that in yellow– plus four seconds times our acceleration of two meters per second squared. We have to take it by half because a triangle is only half of that rectangle.

We can assume these values right over here. That is the area of this right here.

Remember that little g over there is all of these terms combined. And let’s see how we can simplify this Well these two terms remember we are just dealing with bjologi average velocity here These two terms if you combine them become 2 times initial velocity 2vi. Kinematic formulas in one-dimension. Or it’s this 8 right over here. So your initial velocity.

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

Or the time that has gone by. Or this is the same thing as 13 meters per second, which is going to be our final velocity.


I can draw a straighter line than that. And once again, since this is positive, it is to the right. Gennemsnitlig hastighed for konstant acceleration. This is accelerating you towards the center of the earth. biologu

Gennemsnitlig hastighed for konstant acceleration

We were starting at going five meters per second. Easy to figure out the area of a rectangle. Setting up problems with constant acceleration. And what would it be? Deriving displacement as a function of time, acceleration, and initial velocity. This purple or magenta area tells you how further than this, are you going, because you are accelerating, because you kept going faster and faster and faster. Let’s just assume that if I have a positive number that it means, for example, if I have a positive velocity, it means that I am going to the right.

So I don’t use seconds and then sec, and then s in different places.

You might be saying “Wait, clearly the force of gravity is dependent on the distance. And let’s say that we have a constant acceleration.

So after one second we will be at seven meters per second. So let’s draw ourselves a little bit of a diagram here.


The subscript i says i for initial. What blologi the area? Afstand en Airbus A skal bruge til at lette. Video udskrift What I want to do with this video is think about what happens to some type of projectile, maybe a ball or rock, if I were to throw it straight up into the air.

Gennemsnitlig hastighed for konstant acceleration (video) | Khan Academy

Then that helps us figure out the force when you multiply mass times g. We’re just left with meters per second. I’m going to call this the average velocity. But what’s useful about this– is if you want to figure out the distance that was traveled you just need to know the initial velocity and the final velocity. And this tells boilogi the distance.

And so this is the area.