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Velocity Formula

Last updated date: 24th May 2024
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What is Velocity?

Velocity ​​is defined as the vector measure of level and direction of movement. Simply put, velocity is the speed at which an object moves in one direction. The speed of the car heading north on the main highway and the speed of the rocket exploding in space can both be measured using speed. As you might guess, the scalar size (total value) of vector velocity is the speed of movement. In terms of calculations, speed is the first exit of a position in terms of time. You can calculate speed using a simple formula that includes measurement, distance, and time.

Velocity SI ​​Unit

SI (international) units at velocity are m / s (meters per second), but the velocity can be expressed in any unit of distance at a time. Other units include miles per hour (mph), kilometres per hour (kph), and kilometres per second (km / s).

Why does Velocity ​​ matter?

Velocity ​​measures movement from one place to another. The actual use of velocity does not end there, but one of the most common reasons for measuring speed is to determine how fast you (or anything you move) will get to the point from somewhere.

Velocity ​​makes it possible to create travel timetables, a common form of physics problem assigned to students. For example, if the train leaves Penn Station in New York at 2 pm and you know how fast the train travels north, you can predict when it will arrive at South Station in Boston.

What Does Velocity Mean?

Your notion of velocity is probably similar to the scientific definition of velocity. You know that a large displacement in a small amount of time means a large velocity and that velocity has units of distance divided by time, for example, miles per hour or kilometers per hour. Average velocity is defined to be the change in position divided by the time taken to travel that distance.


Velocity Formula

It is represented by the letter V and velocity can be calculated as

Velocity Formula = s/t

Where, s = displacement, t = time taken

Since we convey displacement in meters and time taken in seconds. The units of Velocity are meters/second or m/s.

In any numerical, if any of these two quantities are given we can easily calculate the missing quantity by making use of this formula.


Velocity Formulas

Velocity is a measure of how quickly any given object moves. So, it can be defined as the change in the position of an object, divided by time. Velocity has a magnitude (a value) as well as a direction. The unit for velocity is meters per second (meter/second).

Velocity Formula = {{(final position) - (initial position)}/time} = {(change in the position)/time}

Velocity Formula  = (xf - xi)/t = Δx/t


v = Velocity (m/s)

xf = The final position (m)

xi = The initial position (m)

t = The time required

Δx = "The change in" position (m)

  1. Angular Velocity Formula

ω = θ/t

Where is the angular speed in radians unit time, θ is the angle in radians.

  1. Average Velocity Formula

\[ \upsilon = \frac{\Delta x}{\Delta t} \]


v is equal to the average velocity, Δx is displacement, and  Δt is the change in time.

  1. Velocity Equation

Velocity = Distance/ Time

  1. Escape Velocity Formula

\[ \upsilon _{e} = \sqrt{\frac{2GM}{r}} \]

Where, G = universal gravitational constant = 6.67410-11Nm2/kg2

M = Mass of the body/object to be escaped from.

ve = Equals escape velocity.

r = Equals the distance from the center of the mass.

  1. Final Velocity Formula

v = u + at

Where, u = initial velocity

v = final velocity

a = acceleration

t = time

  1. Initial Velocity Formula

u = v – at

Where , u = initial velocity

v = final velocity

a = acceleration

t = time

  1. Linear Velocity Formula

Velocity (v) = s/t 

We know that s = r θ,v = r θ/t 

Now we replace θ/t by ω.


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Solved Examples

  1. A plane moves the distance of 500 Km in 1 hr. Calculate its velocity?

Answer) Displacement S = 500 km = 500 × 103 m,

Time taken t = 1hr = 60s × 60s = 3600 s.

Therefore, Velocity Formula = S/t = (500 × 103)/3600 = 139 m/s.


  1.  A car moves the distance of 1000 Km in 1 hr. Calculate its velocity?

Answer) Displacement S = 1000 km = 1000 × 103 m,

Time taken t = 1hr = 60s × 60s = 3600 s.

Therefore, Velocity Formula = S/t = (1000 × 103)/3600 = 277.77 m/s.

FAQs on Velocity Formula

1. What is the Formula for Velocity?

Velocity (v) is known to be a vector quantity that measures displacement (or change in position, Δs) over the change in time (Δt), represented by the equation Velocity Formula (v) = Δs/Δt. Speed (or rate, r) is a scalar quantity that measures the distance travelled (d) over the change in time (Δt), represented by the equation r = d/Δt. To find the speed, you divide the distance by the time it takes to travel that distance, and then add your direction to it. For example, if you travel 50 miles 1 hour west, your speed will be 50 miles / 1 hour west, or 50 mph west.

2. What is the Unit of Velocity?

Velocity is a physical vector quantity; both magnitude and direction are needed to define it. It is measured in the SI (metric system) as meters per second (m/s) or as the SI base unit of (m⋅s-1). Velocity ​​is defined as the distance travelled by the body during a unit somewhere. The SI unit velocity is m/s.

3. Can Initial Velocity be Zero?

When a body starts from rest or it changes its direction of motion, it is called initial velocity. Considering initial velocity is equal to zero (u = 0), only when the object starts from rest. Generally, at the time (t = 0), the initial velocity is zero. Yes, you can have zero velocity and medium velocity that is not zero. Each time when a circular motion is there in a body the movement is zero as well as its speed. An object with zero velocity has zero velocity only if it maintains a zero speed (or resting state) for a certain time. If not, it is faster.

4. What makes the velocity change?

In the case of uniform acceleration when there are precisely only three equational motions available, this is called laws of constant acceleration. When the force acts on any object it will result in acceleration. It is this acceleration that makes the velocity change. Therefore the velocity before the acceleration of the object is termed as initial velocity which leads to a change. After the velocity accelerates for some time, the velocity becomes the final velocity.

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