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# Distance and Displacement

Distance - The total length of a path taken by an object to reach one place from the other is called distance. Displacement â€“ The shortest distance from the initial to the final position of an object.

Distance and Displacement

Distance - The total length of a path taken by an object to reach one place from the other is called distance.

Displacement â€“ The shortest distance from the initial to the final position of an object.

Both the distance and displacement posses the same unit. The SI unit is meter (m). Figure shows the motion of a person between two places A and B.

He travels 10 km in first path. In the second path, he travels 7 km.

The distance between A and B via first path is 10 km. In the second path the distance is 7 km. The shortest distance between the two places is 5 km represented as 2. So the displacement is 5 km. (In east direction) The path of an object travelling from A to B is shown in figure. Total distance travelled by the object is 120 m. The displacement of the object is 40 m (south-east direction)

The path in which a rabbit ran is shown in figure. Find the distance and displacement of it in the two figures. Let us consider that each square is in an unit of one square meter. The rabbit starts from point A and reaches the point B. i) Distance  - 17 m    Displacement - 3m

ii) Distance  - 27 m   Displacement   - 1m

When will the distance and displacement be equal. Explain. But the starting and finishing points should be different.

When travelling along the straight line path the distance and displacement be equal.

When we represent the displacement, we use a positive or negative sign depending on the direction with which it travels. Here we can consider the starting point as A and while the object moves from A to B the displacement is considered to be positive and from B to A it is negative. * Subha goes to the nearby playground from her home.

1. What is the distance she travelled?

400 m

2. What is her displacement?

The object moves in a straight line in one direction without turning back.

* The distance travelled by an object is 15 km and its displacement is 15 km. What do you infer from this?

The distance of a person = 30 km Displacement = 0 km.

* The distance of a person is 30 km and his displacement is 0 km. What do you inferfrom this?

(i.e.) The initial and the final position is same.

Nautical mile

Nautical mile is the unit for measuring the distance in the field of aviation and sea transportation. One nautical mile is 1.852 km.

The unit for measuring the speed of aeroplanes and ships is knot. One knot is the speed taken to travel one nautical mile in hour.

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