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# Motion and Velocity – Explanation with Examples

May 4, 2023

## Dimensions of Motion

The motion of a body is divided into different dimensions.

1. One-dimensional (linear motion)
2. Two-dimensional (plane motion)
3. Three-dimensional (motion in space)

### One-Dimensional Motion

One-dimensional motion is defined as the motion in which a body is along one axis.

#### Example:

Let us consider body A, which moves in the positive x-direction and back in the negative x-direction. Here the body is moving only in one dimension, i.e., the axis, or moving in one line. Hence, the motion is called linear or one-dimensional motion.

### Two-Dimensional Motion

In two-dimensional motion, the body has motion in the x-axis and the y-axis, or we can say the body has moved in a plane (x-y axis).

#### Example:

Consider a ball thrown in the air moving to a certain distance and reaching some height. Here, the ball has moved in the x-axis and y-axis; hence it has motion in a plane.

### Three-Dimensional Motion

In three-dimensional motion, the body has moved in the x-axis, y-axis, and z-axis; we can say the body has motion in space.

#### Example:

Let us consider a can filled with gas particles. Here, the gas particles can move in any direction in space. Hence the motion is in space.

## Velocity

Let us consider a body A which has moved from one place to another, and now velocity is defined as the rate of change of displacement or change in displacement of a body concerning change in time.

Therefore,

Note: Velocity is a vector quantity. Hence, the direction of the velocity is in the direction of motion.

### Average Speed

The total distance traveled by the body with respect to total time is called average speed.

### Average Velocity

The total displacement of the body with respect to total time is called average velocity.

### Instantaneous Velocity

The velocity at an instant is said to be instantaneous velocity.

Let us consider a body having velocity v, the velocity at an instant is given by,

Where r represents the position vector.

Instantaneous velocity has direction.

### Instantaneous Speed

The magnitude of the instantaneous velocity at an instant of time is called instantaneous speed.

Instantaneous speed

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