# Displacement

## Definition of Displacement

The shortest distance between initial point and final point is known as Displacement.

### More About Displacement:

- The complete path covered by a body is not considered. Only the initial and final points are considered.
- The "direction" is the deciding factor in displacement. Body/object must move in particular direction for determining the displacement.
- Without considering the direction of body (through which it moved) it is not possible to determine the displacement.
- Displacement is measured in meters. Represented with an arrow on the top ‘ →’
- In order to represent displacement magnitude and direction both are required .
- In the above example: 2m is the magnitude and is the direction. (Object moved from P to Q).

**Example: ** An object moved from P to Q in the following path, covering a distance of 20m.
The distance between Initial point "P" and Final point "Q" is only 2m.

The displacement of the object is only 2m.

#### Worked Example:

Sam starts from point ‘X’ and moved towards east for 8m reaches the point "Y" and turns to his left covers a distance of 6m to reach the point ‘Z’. Find the displacement of Sam from "X" to "Z"-
A. 14m

B. 2m

C. 10m

D. 20m

**Correct answer is C**

#### Solution

**Step 1:**Draw a rough figure with the given measurements.

**Step 2:**The figure resembles a right triangle.

**Step 3:**Apply the ‘Pythagoras’ theory to find ‘XZ’.

Square of the hypotenuse is equal to sum of the squares of other two sides.

**Step 4:**

**Step 5:**

**Related terms**: Displacement | Speed, | Length.
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