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Distance and Displacement

Distance is the total length of the actual path travelled. Displacement is the shortest straight-line change in position from the initial point to the final point, with direction.

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Main explanation

Teacher explanation

Distance is a scalar quantity, so it has magnitude only. Displacement is a vector quantity, so direction matters. Distance can never be less than displacement in magnitude; they are equal only when motion is along a straight line without changing direction.

Example

If a student walks 3 m east and then 4 m west, distance is 7 m, but displacement is 1 m west.

Simple analogy

Distance follows the road; displacement points from start to finish.

Common confusion

Students often add directions like east and west as if both distance and displacement are the same type of quantity.

Exam tip

For displacement, mark the starting point and ending point first; the actual route matters for distance, not for displacement.

Answer writing and exam use

1-mark use

Write the exact meaning of distance and displacement in one clean line.

2-mark use

Define distance and displacement and add one example or condition.

3-mark use

Explain distance and displacement, show the method or example, and mention the common mistake.

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