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Physics Lesson 3.3.1 - Displacement as a Change in Position (in one dimension)

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Welcome to our Physics lesson on Displacement as a Change in Position (in one dimension), this is the first lesson of our suite of physics lessons covering the topic of Displacement and Distance in 1 Dimension, you can find links to the other lessons within this tutorial and access additional physics learning resources below this lesson.

Displacement as a Change in Position (in one dimension)

Look at the object shown in the figure.

Physics Tutorials: This image shows an object placed ont a horizontal grid labeled zero on the left increasing in steps of one units through to 13 on the right. A square is positioned as unit 7 and labelled Instant 1

The object initially is at the position x1 = 7m. After a while, (after losing it from sight) we notice that the object has moved to the position x2 = 12m as shown below.

Physics Tutorials: This image shows the same horizontal measurement and object as described in the previous image, however, in this image the initial object is not dotted to indicate a previous position. The same object is then shown at positon 12 and labelled Instant 2

Since we have lost the object from sight during its motion, we are not sure in what direction it has moved before stopping at x2 = 12m. However, we are sure for one thing: at the end of process, the object is 5m on the right of its original position. This means its position has changed by +5m.

This change in position in Kinematics is known as "Displacement". It is denoted by ∆x and is obtained by subtracting the final and initial position.

Mathematically, we can write:

∆x = xfinal - xinitial
= x2 - x1

In the specific case, we have

∆x = xfinal - xinitial
= x2 - x1
= 12m - 7m
= 5m

It is obvious that Displacement is obtained by subtracting two vectors: the final and initial position. Therefore, Displacement is a vector quantity as well.

In the figure below, we can show the three vectors involved in our example.

Physics Tutorials: This image shows the previous objects described in image two, in addition this has arrows which run from each start point to object start / end to illustrate visually the values for eachelelemtn therein as described below.

You have reach the end of Physics lesson 3.3.1 Displacement as a Change in Position (in one dimension). There are 2 lessons in this physics tutorial covering Displacement and Distance in 1 Dimension, you can access all the lessons from this tutorial below.

More Displacement and Distance in 1 Dimension Lessons and Learning Resources

Kinematics Learning Material
Tutorial IDPhysics Tutorial TitleTutorialVideo
Tutorial
Revision
Notes
Revision
Questions
3.3Displacement and Distance in 1 Dimension
Lesson IDPhysics Lesson TitleLessonVideo
Lesson
3.3.1Displacement as a Change in Position (in one dimension)
3.3.2What is Distance? How does it differ from the Displacement?

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  6. Continuing learning kinematics - read our next physics tutorial: Displacement and Distance in 2 and 3 Dimensions

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