Introductory Mathematics
How fast was the traveller moving?
A journey through calculus primer with Botie.
Introductory Mathematics · A journey with Botie
First visit? Learn the workshop controlsBotie's notebook
How Can We Measure Something That Keeps Changing?
Part 1 of 3
A journey has a total distance and a total time. Those tell us an average speed, but they do not tell us how fast the traveller was moving at a particular moment. The same difficulty appears when we want the slope of a curved path: the answer depends on where we look.