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  1. Distance is a scalar measure of the interval between two locations measured along the actual path connecting them. Displacement is a vector measure of the interval between two locations measured along the shortest path connecting them.

  2. Measure the length of your path from the starting position to the second marked position. Multiply this measurement by the total number of times you walked across the floor. Then add this number to your measurement from step 6. Compare the two measurements from steps 6 and 7.

  3. Introduction to Diagrams. Distance is a scalar quantity that refers to how much ground an object has covered during its motion. Displacement is a vector quantity that refers to how far out of place an object is ; it is the object's overall change in position.

  4. Displacement is defined to be the change in position of an object. It can be defined mathematically with the following equation: Displacement = Δ x = x f − x 0. x f refers to the value of the final position. x 0 refers to the value of the initial position. Δ x is the symbol used to represent displacement.

  5. The relation of distance to displacement. The distance traveled to get from one location to another is always greater than or equal to the magnitude of the displacement between the two locations. ∆ s ≥ |∆ s |. Distance approaches the magnitude of displacement as distance approaches zero. ∆ s → 0.

  6. 12 sty 2024 · Define position, displacement, and distance traveled. Calculate the total displacement given the position as a function of time. Determine the total distance traveled.

  7. However, distance and displacement are different concepts. If an object changes direction in its journey, the total distance traveled will be greater than the displacement between those two points. The difference between distance and displacement. Image from Wikimedia Commons, CC BY-SA 3.0.

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