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In this video, we want to talk about position s, velocity, which is a function of position in time.
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This is just a function of time.
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And then acceleration of a particle moving.
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So let's make an arbitrary position graph.
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Let's say that this particle, this is t and then its position coordinate.
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Let's say that it starts at an arbitrary location like so.
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And then it's moving according to a quadratic function like this.
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So every point in space, in this graph represents where it is in space relative to the time and so on.
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Now we know that velocity is the first derivative of the position.
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So if we wanted to graph the velocity over time, then we would just graph the derivative.
00:56
And the derivative of a quadratic function is a linear function.
01:00
That's one way you could think about it.
01:01
Or you could just think about what is the, you're plotting the slope at every single point...