Part of a playlist on 1D kinematics: [ Ссылка ]

Intro position-time graphs and slope of an x-t graph, velocity time graphs and area of a v-t graph.

We begin with an example of a car traveling in a straight line at a constant rate, then turning around and traveling at a constant rate back to the starting point. We plot the position time graph for the car, and then we compute the slope of the position time graph for the two different legs of the trip. Keeping units on the slope calculation allows us to see the physical interpretation of slope for an x-t graph: the slope between two points on an x-t graph gives us the average velocity for that time interval.

Next, we plot a velocity-time graph for the same car in the example. The velocity time graph consists of two horizontal line segments: one for the positive velocity on the first part of the trip and one for the negative velocity on the second part of the trip. Finally, we calculate the signed area bounded by the v-t graph, and by keeping units on the area calculation we discover that the area of a v-t graph gives us the displacement of the car on each time interval!

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