How To Find The Velocity From a Displacement-Time Graph

TL;DR

This video explains how to calculate velocity from a position-time graph, by finding the slope of the tangent line at any point.

Transcript

in this video we're going to talk about how to calculate the velocity from position time graph also known as an XT graph now the velocity function can be found by taking the derivative of the position function and whenever you take the derivative of a function you can calculate the slope of the tangent line at any point with that derivative functio... Read More

Key Insights

• 🫥 Velocity can be calculated by finding the slope of the tangent line on a position-time graph.
• 🧘 Positive velocity indicates increasing position, while negative velocity indicates decreasing position.
• 🚥 Horizontal tangents indicate zero velocity, meaning no motion.
• 😥 Average velocity can be determined between two points on a non-linear graph, while instantaneous velocity requires finding the slope at a specific point.

Summary & Key Takeaways

• Velocity can be determined by taking the derivative (slope) of the position function on a graph.

• When the position function is increasing, velocity is positive; when it is decreasing, velocity is negative.

• For non-linear graphs, average velocity can be calculated between two points, while instantaneous velocity requires finding the slope at a specific point.