This video explains in more depth of how to analyse and interpret motion graphs. Links to the graphs below:
we cover displacement-time graphs , aka position-time graphs or distance-time graphs
velocity-time graphs
acceleration-time graphs
In this video I 'briefly' go over the concepts of gradients and derivatives to perhaps give a more intuitive perspective or another point-of-view if you are struggling to see how the three graphs connect.
Try It Yourself Graph:
http://www.desmos.com/calculator/jssa...
All In One/Find Patterns Graph:
http://www.desmos.com/calculator/umec...
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Physics: Speed, Velocity, Acceleration and Time