Velocity Formula, Definition, SI Unit and Solved Examples

Velocity Formula: Velocity Formula is a measure of change in position of the object displacement over time. In simple words, velocity is a measure of how much time an object takes to reach a destination with direction. Moreover, it is directly related to displacement and inversely relates to the time traveled. Also, its unit is a meter per second (m/s).

                        Velocity = Displacement/ Time

                                                                           V = s/t

Where,

                   V =  Velocity of an object

                   s =  displacement of an object

                   t =   time taken by an object

What is Velocity?

Velocity is a measure of how much time an object takes to reach a destination with direction. There is a misconception with regards to velocity and speed, as it is thought that velocity and speed are used interchangeably but in reality, it is just the opposite. Moreover, they are quite similar but they are not the same.  

So, Velocity can be defined as The speed of a body in a specific direction is the measure of Velocity. The rate of change in displacement with respect to time is known as velocity. Velocity is a vector quantity that has both magnitude and direction. Velocity is a measure of how much time an object takes to reach a destination with direction.

Velocity Formula

The large displacement in a small amount of time means a large velocity and that velocity has units of distance divided by time.

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

Velocity Formula(V) = s/t

Where

 s = displacement ( in meters)

 t = time taken ( in seconds)

Since we convey displacement in meters and time taken in seconds. 

SI Unit of Velocity Formula

The velocity of an object is usually defined as the rate of displacement that a particle or an object undergoes within a span of time. Velocity is a vector expression of the displacement that an object or particle undergoes with respect to time . The standard unit of velocity is the meter per second (m/s).

Velocity= Displacement/time taken

V= meter/second

The SI unit of Velocity are meters/second or m/s.

Dimensional formula of velocity

The dimensional formula of velocity is [M L T-1]

Where,

M= Mass

L= Length

T= Time taken

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}

                              =  Δx/t

Velocity Formula 

V= (xf - xi)/t = Δx/t

Where,

V = Velocity (m/s)

xf = The final position (m)

xi = The initial position (m)

t = The time required

Δx = "The change in" position (m)

Angular Velocity Formula

ω = θ/t

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

Average Velocity Formula

V=Δx/Δt

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

Velocity Equation

velocity= distance /time

Escape Velocity Formula

Ve=√(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.

Final Velocity Formula

v = u + at

Where, u = initial velocity

v = final velocity

a = acceleration

t = time

Initial Velocity Formula

u = v – at

Where , u = initial velocity

Solved Examples of Velocity Formula

Q1: A plane moves the distance of 400 Km in 1 hr. Calculate its velocity?

Solution: Displacement S = 400 km = (400 × 1000) m,

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

so, Velocity= 400 x 1000/3600

           V = 111.11 m/s

Q2: A submarine descends 150 ft. in 3 seconds. Find the Velocity of submarine?

Solution: Distance travelled S = – 150 ft.,

Time taken t = 3 seconds

So, Velocity= -150/3

         V = -50 ft./s

Q3: A car moves the distance of 1000 Km in 1 hr. Calculate its velocity?

Solution: Displacement (S) = 1000 km = 1000 × 1000 m,

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

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

The velocity is 277.77 m/s

Q4: Suppose there is an object traveled a distance of 10 meters in the left direction and the time taken by the object is 2 minutes. Find the velocity of the object.

Solution:

Displacement (S)= 10 meters

Time  taken in seconds = time in minutes × number of seconds in a minute

t = 2 × 60 = 120 s

So, time in seconds is 120 s

V = 10 / 120

V = 0.08 m/s

The velocity of the object is 0.08 m/s.

Q5: The value of velocity and time is 1.5 m/s and time taken is 100 seconds. Find the value of displacement.

Solution:

v =  s / t

1.5 = s /100

1.5 × 100 = s

s = 1.5 × 100 = 150 m

The displacement is 150 m.