Video: Solving Problems on Quantities That Can Be Represented by Vectors

Using the given figure, calculate the distance 𝑑 and the displacement 𝑠 of a body that moves from point 𝐴 to point 𝐢 and then returns to point 𝐡.

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Video Transcript

Using the given figure, calculate the distance 𝑑 and the displacement 𝑠 of a body that moves from point 𝐴 to point 𝐢 and then returns to point 𝐡.

The distance from point 𝐴 to point 𝐡 is 28 centimeters. And the distance from point B to point 𝐢 is 24 centimeters. In order to calculate the distance, we need to add the distance from 𝐴 to 𝐢 to the distance from 𝐢 to 𝐡.

Well, the distance from 𝐴 to 𝐢 is 52 centimeters. 28 plus 24 equals 52. And the distance from 𝐢 to 𝐡 is 24 centimeters. This means that the total distance is 76 centimeters. 𝑑 equals 76.

In order to work out the displacement, we need to work out the distance from the start point, 𝐴, to the final point, 𝐡. In this case, it is the distance from 𝐴 to 𝐡. The distance from 𝐴 to 𝐡 is 28 centimeters. Therefore, the displacement of the body, 𝑠, is 28 centimeters.

If a body moves from point 𝐴 to point 𝐢 then returns to point 𝐡, its distance travelled is 76 centimeters. And its displacement is 28 centimeters.

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