How to Read Velocity-Time Graphs to Find Acceleration and Displacement

Miacademy & MiaPrep Learning Channel

This educational video provides a clear, step-by-step guide to understanding and analyzing velocity vs. time graphs in physics. It begins by contrasting position-time graphs with velocity-time graphs using the real-world example of a marathon runner to demonstrate constant velocity. The instructor establishes two fundamental rules of kinematic graphing: the slope of a velocity-time graph represents acceleration, and the area under the curve represents displacement. The video progresses from simple constant velocity scenarios to more complex motion using an elevator example that involves speeding up, constant speed, and slowing down. Through this narrative, viewers learn to calculate acceleration by finding the slope of line segments and calculate displacement by finding the area of geometric shapes (rectangles and triangles) formed by the graph line. Detailed practice problems are integrated directly into the lesson, allowing students to pause and test their understanding of instantaneous velocity, acceleration calculation, and displacement calculation. This resource is highly valuable for high school physics and physical science classrooms. It effectively bridges the gap between mathematical concepts (slope and area) and physical realities (acceleration and distance). Teachers can use this video to introduce kinematic graphs, reinforce the connection between math and science, or provide targeted practice for students struggling to interpret motion graphs.