How to calculate an object's changing velocity when kinetic friction is constantly applied.
In short: This video demonstrates how to use Newton's second law to derive velocity, acceleration, and position functions for an object moving under the influence of kinetic friction. It is a practical look at how constant forces shape motion over time.
When an object moves against kinetic friction, the constant force allows us to build a differential equation for its velocity. By solving this equation, we can determine the velocity as a function of time, which reveals a linear relationship.
Using this velocity function, we can further derive the acceleration and position of the object through differentiation and integration. These calculations show that the object's position follows a quadratic function over time.
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Sources
- Summary by Intellect · source: Motion as a function of time: Friction example | AP Physics | Khan Academy
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