Motion as a function of time: Friction example | AP Physics | Khan Academy

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Applying Newton’s second law to a moving object experiencing kinetic friction results in a differential equation for velocity. The differential equation can be solved to find the object’s velocity as a function of time. The velocity function can then be used to find the object’s acceleration and position as functions of time through differentiation and integration, respectively. The force is constant while the object moves, so we find the velocity function is linear and the position function is quadratic.

Sections:
00:00 - Intro
00:33 - Kinetic friction
03:08 - Drawing the free-body diagram
04:56 - Finding the acceleration function
06:24 - Finding the velocity function
09:46 - Finding the position function
12:32 - Summary

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