Question

Describe distance and displacement?

Answer 1

Distance and Displacement:

1. The entire length of a route traveled by a moving body without regard for direction is called distance.
2. The line segment with direction between a moving body's beginning and final position is called displacement.
3. The distance is scaler because it has only magnitude while displacement is a vector quantity as it has both magnitude and direction.
4. The location of the item varies if a professor goes to the right in reference to a whiteboard or a passenger travels to the back of an airliner. Displacement is the term for this shift in location.

Mathematically, displacement can be represented as:

$\mathrm{D}={\mathrm{X}}_{\mathrm{f}}-{\mathrm{X}}_{\mathrm{i}}$

Here,

$\mathrm{D}$ is the displacement.

${\mathrm{X}}_{\mathrm{f}}$ is the final position.

${\mathrm{X}}_{\mathrm{i}}$ is the initial position.

$∆\mathrm{X}$ short form for change in position.

Distance and Displacement in a circular motion:

The distance traveled around a circular path is equal to its circumference but the displacement is zero as the final and initial position is the same.

1. If you move from point A to B inside a closed figure namely the depicted circle, traveling via the center, your displacement is the measure from A to B, which is double the circle's radius.
2. Whenever you take a different path from A to B by going through the arc clockwise, the displacement is far more than double the radius. Actually, it is approximately a $3.1416\times \mathrm{radius}$. If you start at point A and return to it, the displacement is zero.