On a velocity-time graph, how does one calculate the displacement?

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter2: Motion In One Dimension
Section: Chapter Questions
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On a velocity-time graph, how does one calculate the displacement?

Expert Solution
Step 1

Velocity-time graph is the graph drawn with time in the x-axis and velocity in the y-axis.

Step 2

The displacement of the particle or object is given by the area under the curve.

This total area gives us the displacement of the particle as in the velocity-time graph.

Physics homework question answer, step 2, image 1

The curve area gives us the displacement. The area here can be divided into two parts a right angled triangle and a rectangle.

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