Average goes to 23.5 miles per hour.

So the slope over here might be 23... whatever miles per hour, but instantaneous, his fastest poin in this 9.58 seconds is closer to 30 miles per hour.

And you would say, it takes 15 seconds.

And that is his average speed.

And what we're gonna see in a second is how average speed is different than instantaneous speed.

You get vbt minus vct is equal to 300.

But the way we study the fundamental particles, as well as the forces by which they interact, involves creating them fleetingly, colliding protons in our accelerators and capturing a trace of them as they zoom off near light speed.

You know how many times I thought about this moment?

And in 5 seconds and they give us that information.

And what I want to show you in this video that is in general, if you plot velocity, the magnitude of velocity ...so you could say speed versus time... or let me just stay with the magnitude of the velocity versus time the area under that curve is going to be the distance traveled (or the displacement) because displacement is just the velocity times the change in time so if you just take out a rectangle right over there

This is close to but does not have to be equal to the age of the Universe at that time, T0.

And by getting super, super small changes in y or changes in x you are able to get this instantaneous slope or in the case of this example the instantaneous speed of Usain Bolt right at that moment.

And relative to a car not so fast but relative to me extremely fast.

(Applause)

Now.

Although I'm sure you know this formula.

We call this the coriolis effect.

The amplitude is simply telling you how well aligned you are, it doesn't say anything about lenses.

So this goes straight back to the, the standard to distance is equal to rate times time.

In the case of Usain Bolt how fast is he going right now?

And I looked it up Usain Bolt's instantaneous velocity his peak instantaneous velocity is actually close to 30 miles per hour.

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So for example, this is telling us 10 pi radians per second

Accelerate to attack speed.

They just said that the officer is going 3 times as fast, but we don't know absolute velocities.

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