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Position and Displacement

Part of the Mechanics section of Coddy's Physics journey. Lesson 26 of 97.

Pick an origin and a positive direction. The position xx is where the object is, measured from the origin; its sign gives the side.

The displacement is final minus initial position:

Δx=xfinal−xinitial\Delta x = x_{\text{final}} - x_{\text{initial}}

A number line in metres: an object starts at x = 5 and walks to x = -2; the displacement arrow of -7 metres points to the left, toward the negative side

From x = 5 m5\ \mathrm{m} to x = −2 m-2\ \mathrm{m}: the displacement is −7 m-7\ \mathrm{m}.

Distance is the length of the path, never negative. Out 40 m40\ \mathrm{m} and back 40 m40\ \mathrm{m} is a distance of 80 m80\ \mathrm{m} but a displacement of 0.

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Challenge

A dog walks along a straight path, with positions measured along it, and stops at x=7 mx = 7\ \mathrm{m}. Its displacement was −18 m-18\ \mathrm{m}. Find where it started: its starting position x0\relax x_{0}.

Try it yourself

Physics diagram: ball, vec, path; arrows d = -18 m

Solve for x0x_{0}

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This lesson includes a short quiz. Start the lesson to answer it and track your progress.

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