Like velocity, acceleration is a vector.

Or it's the change in velocity due to the acceleration. And the change in velocity due to the acceleration 13 minus 5 is 8.

No. we know acceleration, but don't know final velocity.

Acceleration is just the change in velocity over time.

Acceleration is the rate the velocity changes over time.

We know the average velocity is equal to the final velocity plus the initial velocity over 2, and this assumes acceleration is constant.

We know that the final velocity is equal to the initial velocity plus acceleration times time.

Angular acceleration is the rate of change of angular velocity.

You get Δt acceleration is equal to change in velocity.

And the average velocity...if your acceleration is constant... if and only if your acceleration is constant then your average velocity will be the average of your final velocity and your initial velocity and so in this situation, what is our average velocity? well our average velocity, let's do it in m s is going to be our final velocity, which is (let me calculate it down here) so our average velocity in this example

And I take that as the average velocity is because my acceleration is constant

The acceleration is equal to change in velocity over change in time.

You have position, derivative, velocity then acceleration and then comes jerk, and then comes snap.

The initial velocity, plus, now the final velocity is now the initial velocity, plus acceleration times time, and then we divide all of that by 2 times time.

We're given the acceleration, we're given the initial velocity, and I asked you how do we figure out what the final velocity is?

But if you do have a constant acceleration like this, you can assume that the average velocity is going to be the average of the initial velocity and the final velocity.

I have change in time is equal to change in velocity divided by acceleration.

This hopefully is intuitive to you, that the change is just the final velocity minus the initial velocity, and that that equals acceleration times time.

So if you multiply the acceleration times time, that's how much his velocity is increased.

Earth orbit A spacecraft enters orbit when it has enough horizontal velocity for its centripetal acceleration due to gravity to be less than or equal to the centrifugal acceleration due to the horizontal component of its velocity.

We know the change in distance divided by the change in time is equal to velocity average velocity, and it would equal velocity if velocity's not changing, but average when velocity does change and we have constant acceleration, which is an important assumption.

The magnitude of our velocity or speed is equal to the square root of our acceleration times or the magnitude for acceleration times the radius

So I just told you the definition of acceleration it's the change in velocity over time!

But here our velocity is changing but lucky for us, we learned... (I would encourage you to watch the video on average velocity for constant acceleration) but if you have constant acceleration and that is what we are assuming in this example

And the net force is acting in the direction of the acceleration which is causing the change in velocity

We know that the change in velocity divided by the change in time is equal to acceleration.

When we plot velocity (or the magnitude of velocity) relative to time the slope of that line is the acceleration and since we're assuming the acceleration is constant we have a constant slope so we have just a line here, we don't have a curve

So to remind you of physics, you have position, derivative, velocity, then acceleration, and then comes jerk and then comes snap.

The change in velocity is the same thing is vf minus vi is equal to acceleration times time.

Or another way to think about it is the slope of this velocity line is my constant acceleration

We know that the change in velocity, or the vertical component of the change in velocity, is equal to the vertical component of the acceleration multiplied by time.

Acceleration is equal to a change in velocity is equal to a change in velocity over time, or we could say, over change, over a change in time.

If you assume that your acceleration is constant then you could come up with something called an average velocity

The magnitude of the centripetal acceleration is equal to your speed, the magnitude of your velocity, squared, divided by your radius.

We know that the change in velocity is equal to acceleration times time, assuming that time starts a t equals 0.

So if we square it, this is going to be (v over r) squared, now we saw that in the video on angular velocity, times r and this is all going to be the magnitude of our acceleration, which is really our centripetal acceleration, our inward directed acceleration.

In the next presentation, I'm just going to keep doing problems, and hopefully you'll realize that everything really just boils down to average velocity change in velocity is acceleration times time, and change in distance is equal to change in time times average velocity, which we all did just now.

Another way to think about it if you want to think about the distance traveled this plane is constantly accelerating so let me draw a little graph here this plane's velocity time graph will look something like this so this is time...and this is velocity right over here this plane has a constant acceleration starting with 0 velocity it has a constant acceleration this slope right here is its constant acceleration it should actually be a slope of 1, given the numbers in this example

I'm taking the final velocity, 78 m s, and subtracting from that the initial velocity, which is 0 m s, and you just get this divided by the acceleration, divided by 1 m s per second, or 1 m s 2.

And that centripetal acceleration is the acceleration due to gravity

Force Mass times acceleration acceleration and force are vector quantities

So it measures acceleration, angular acceleration

So the acceleration, and once again, acceleration is a vector quantity.

I want to be very clear, this is a scalar formula right over here we're talking about the magnitude of the acceleration and the magnitude of the velocity.

The average velocity is just the average of the initial velocity and the final velocity.