Teaching Kinematics as a Way to understand Calculus and Graphs

Astronomy and Astrophysics – Astronomy

Scientific paper

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Scientific paper

In our institution we have implemented a remedial course in which one of its sections is dedicated to kinematics in one dimension. In that section we spend some time working with graphs understanding concepts from mean velocity to instantaneous velocity as a way to understand broader concepts such as mean rate-of-change and instantaneous rate-of-change. Students calculate instantaneous velocity by three methods: using the graph, using the ratio of change of position to time interval when the time interval is sufficiently small, and using derivatives. Students are able to compare the three methods realizing that the first method gives them an approximation; the second one, by using significant figures, is able give them the correct answer; and the last method give them the correct answer. At the end of the section, students are able to construct velocity graphs from position graphs and vice versa, position graphs from velocity graphs.

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