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
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)
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Angular Velocity Formula
ω = θ/t
Where is the angular speed in radians unit time, θ is the angle in radians.
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Average Velocity Formula
[ upsilon = frac{Delta x}{Delta t} ]
Where,
v is equal to the average velocity, Δx is displacement, and Δt is the change in time.
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Velocity Equation
Velocity = Distance/ Time
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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.
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Final Velocity Formula
v = u + at
Where, u = initial velocity
v = final velocity
a = acceleration
t = time
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Initial Velocity Formula
u = v – at
Where , u = initial velocity
v = final velocity
a = acceleration
t = time
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Linear Velocity Formula
Velocity (v) = s/t
We know that s = r θ,v = r θ/t
Now we replace θ/t by ω.
Solved Examples
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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.
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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.