# Linear Velocity, Types of Velocity, Linear Velocity Formula, Linear Velocity Units (For CBSE, ICSE, IAS, NET, NRA 2022)

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# Linear Velocity

• Velocity is a rate of change of the position of an object within a certain time range.
• When the object moves along the straight path, the velocity associated with it is termed as linear velocity.
• It is given as the ratio of distance covered to time. Denoted using V or Vl and measure using SI unit m/s. It is a vector quantity.
• Imagine driving down the road and looking down at the dashboard. The speedometer says the car is traveling at a speed of 65 miles per hour. The speed of 65 miles per hour is the velocity. It is the rate of change of miles with respect to hours.

## Types of Velocity

• There are two different types of velocity:
• Angular velocity
• Linear velocity

### Linear Velocity

• Linear velocity is the measure of “the rate of change of displacement with respect to time when the object moves along a straight path.” It is a vector quantity. Dimension formula of linear velocity is
• Any object that moves has a linear velocity.
• Angular velocity only applies to objects moving along a circular path.
• For instance, if a person goes for a walk, drive, run, or bike ride, there is linear velocity.
• When this is the case, we say that the object is traveling with a constant linear velocity. This basically just says that the object՚s linear velocity is not changing. In other words, the linear velocity is constant.

### Angular Velocity

• It is the rate of change of the angular displacement over time.
• Linear and angular velocities are related to the speed of an object based on the perspective chosen.
• Linear velocity is applied to an object that moves, whereas angular velocity applies to those that turn such as a wheel, the earth՚s revolution, or a spinning top.

## Linear Velocity Formula

It depends on the distance travelled by an object with respect to time taken. The linear equation or the linear velocity formula is given by,

Where,

• v = Linear velocity
• x = distance covered
• t = Time taken to cover the distance (x) .

## Linear Velocity Units

SI unit meter per second or m/s