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Position and Displacement

Part of the Mechanics section of Coddy's Physics journey. Lesson 23 of 94.

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

The displacement is final minus initial position:

Δx = x_final - x_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 m to x = -2 m: the displacement is -7 m.

Distance is the length of the path, never negative. Out 40 m and back 40 m is a distance of 80 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 m. Its displacement was -18 m. Find where it started: its starting position x_0.

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