Velocity Formula

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

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)

  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

\[\overline{v} = \frac{\triangle x}{\triangle t}\]

Where,

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

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

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

Question 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.


Question 2)  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 (Frequently Asked Questions)

Question 1. What is the Formula for Velocity?

Answer: 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 traveled (d) over the change in time (Δt), represented by the equation r = d/Δt.

Question 2. What is the Unit of Velocity?

Answer: 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).

Question 3. Can Initial Velocity be Zero?

Answer: 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.