** Physics Formulas Displacement** : Check out the definitions, formulas, examples, and questions based on the displacement formula. Students will be able to easily solve many questions based on displacement, which is one of the most essential topics in physics, after reading this article.

# Definition of Displacement :

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The shortest distance between an object’s initial and final placements is called displacement. It is a vector quantity. Its SI unit is a meter.

## Displacement Formula:

s = VT

s = ut + at2

v2 = like tum2 + 2

Here, s represents displacement, u represents starting velocity, v represents ultimate velocity, and a represents acceleration.

### Displacement Formula in Cartesian Coordinates:

The magnitude of displacement of a particle from the origin (0, 0) if the coordinates of the particle are (x, u)

= (x2 + and2)

The magnitude of the displacement of a particle from the origin (x.), u1) if the coordinates of the particle are (x.2, u2)

= [(x2 – x1)2 + (y2 – y1)2]1/2sasd

### Question-based on Displacement Formula:

Take a square ABCD whose side is 1 m. At present, a particle traveling from point A to point C reaches. What is the magnitude of displacement?

The length of the diagonal of the square = 2 is the magnitude of the displacement.

#### What Makes a scalar Amount Different From a Vector Quantity :

Displacement is a vector quantity.

Is it possible for a displacement’s magnitude to equal the distance traveled by an object?

Yes. Suppose an object is moving in a straight line without changing direction.

An object has moved away. Can its displacement be zero? If you answered yes, give an example to back up your claim.

Yes, imagine that a moving object is moving around a circular path. If it starts from a point and reaches the same point again, the net displacement will be zero, although it has traveled some distance.

Determine the displacement of an item that accelerates in 3 seconds from rest to 30 m/s.

A: In this case, the initial velocity is 0, the ultimate velocity is 30m/s, and the time taken is 3s.

Thus, acceleration = 30/3 = 10 m/s²

Displacement = ut + at² = x 10 x 9 = 45 m.