FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Final Velocity given Displacement, Uniform Acceleration and Initial Velocity of Particle Formula

Fx Copy

LaTeX Copy

The Final Velocity is the speed of a moving body after it has reached its maximum acceleration. Check FAQs

v f = \sqrt{u^{2} + 2 \cdot a lm \cdot d}

v_f - Final Velocity?u - Initial Velocity?a_lm - Acceleration For Linear Motion?d - Displacement?

Final Velocity given Displacement, Uniform Acceleration and Initial Velocity of Particle Example

With values

With units

Only example

Here is how the Final Velocity given Displacement, Uniform Acceleration and Initial Velocity of Particle equation looks like with Values.

Here is how the Final Velocity given Displacement, Uniform Acceleration and Initial Velocity of Particle equation looks like with Units.

Here is how the Final Velocity given Displacement, Uniform Acceleration and Initial Velocity of Particle equation looks like.

41.0007 = \sqrt{33^{2} + 2 \cdot 3.6 \cdot 82.23}

41.0007m/s = \sqrt{{33m/s}^{2} + 2 \cdot 3.6m/s² \cdot 82.23m}

41.0007 = \sqrt{33^{2} + 2 \cdot 3.6 \cdot 82.23}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Physics » Category

Mechanical » Category

Mechanics » fx Final Velocity given Displacement, Uniform Acceleration and Initial Velocity of Particle

Final Velocity given Displacement, Uniform Acceleration and Initial Velocity of Particle Solution

Follow our step by step solution on how to calculate Final Velocity given Displacement, Uniform Acceleration and Initial Velocity of Particle?

FIRST Step Consider the formula

v f = \sqrt{u^{2} + 2 \cdot a lm \cdot d}

Next Step Substitute values of Variables

∴

v f = \sqrt{{33m/s}^{2} + 2 \cdot 3.6m/s² \cdot 82.23m}

Next Step Prepare to Evaluate

∴

v f = \sqrt{33^{2} + 2 \cdot 3.6 \cdot 82.23}

Next Step Evaluate

∴

v f = 41.0006829211417m/s

LAST Step Rounding Answer

∴

v f = 41.0007m/s

Final Velocity given Displacement, Uniform Acceleration and Initial Velocity of Particle Formula Elements

Variables

Functions

Final Velocity

The Final Velocity is the speed of a moving body after it has reached its maximum acceleration.

Symbol: v_f

Measurement: SpeedUnit: m/s

Note: Value can be positive or negative.

Formulas to find Final Velocity

Initial Velocity

Initial Velocity is the velocity at which motion an object starts.

Symbol: u

Measurement: SpeedUnit: m/s

Note: Value can be positive or negative.

Formulas to find Initial Velocity

Acceleration For Linear Motion

Acceleration For Linear Motion of body is the rate of change in velocity to the change in time.

Symbol: a_lm

Measurement: AccelerationUnit: m/s²

Note: Value can be positive or negative.

Formulas to find Acceleration For Linear Motion

Displacement

Displacement refers to an object's overall change in position.

Symbol: d

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Displacement

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

Other formulas in Motion under Acceleration category

Go Velocity of Particle after Certain Time

v l = u + a lm \cdot t

Go Average Velocity

v avg = \frac{u + v f}{2}

Go Distance Traveled by Particle given Average Velocity

D = v avg \cdot t

Go Distance Travelled by Particle

D = (\frac{u + v f}{2}) \cdot t

How to Evaluate Final Velocity given Displacement, Uniform Acceleration and Initial Velocity of Particle?

Final Velocity given Displacement, Uniform Acceleration and Initial Velocity of Particle evaluator uses Final Velocity = sqrt(Initial Velocity^2+2*Acceleration For Linear Motion*Displacement) to evaluate the Final Velocity, Final Velocity given Displacement, Uniform Acceleration and Initial Velocity of Particle formula is defined as a measure of the velocity an object attains after being displaced under uniform acceleration, considering its initial velocity, providing insight into the particle's motion and its response to external forces. Final Velocity is denoted by v_f symbol.

How to evaluate Final Velocity given Displacement, Uniform Acceleration and Initial Velocity of Particle using this online evaluator? To use this online evaluator for Final Velocity given Displacement, Uniform Acceleration and Initial Velocity of Particle, enter Initial Velocity (u), Acceleration For Linear Motion (a_lm) & Displacement (d) and hit the calculate button.

FAQs on Final Velocity given Displacement, Uniform Acceleration and Initial Velocity of Particle

What is the formula to find Final Velocity given Displacement, Uniform Acceleration and Initial Velocity of Particle?

The formula of Final Velocity given Displacement, Uniform Acceleration and Initial Velocity of Particle is expressed as Final Velocity = sqrt(Initial Velocity^2+2*Acceleration For Linear Motion*Displacement). Here is an example- 41.00068 = sqrt(33^2+2*3.6*82.23).

How to calculate Final Velocity given Displacement, Uniform Acceleration and Initial Velocity of Particle?

With Initial Velocity (u), Acceleration For Linear Motion (a_lm) & Displacement (d) we can find Final Velocity given Displacement, Uniform Acceleration and Initial Velocity of Particle using the formula - Final Velocity = sqrt(Initial Velocity^2+2*Acceleration For Linear Motion*Displacement). This formula also uses Square Root (sqrt) function(s).

Can the Final Velocity given Displacement, Uniform Acceleration and Initial Velocity of Particle be negative?

Yes, the Final Velocity given Displacement, Uniform Acceleration and Initial Velocity of Particle, measured in Speed can be negative.

Which unit is used to measure Final Velocity given Displacement, Uniform Acceleration and Initial Velocity of Particle?

Final Velocity given Displacement, Uniform Acceleration and Initial Velocity of Particle is usually measured using the Meter per Second[m/s] for Speed. Meter per Minute[m/s], Meter per Hour[m/s], Kilometer per Hour[m/s] are the few other units in which Final Velocity given Displacement, Uniform Acceleration and Initial Velocity of Particle can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit

Final Velocity given Displacement, Uniform Acceleration and Initial Velocity of Particle Formula

Final Velocity given Displacement, Uniform Acceleration and Initial Velocity of Particle Example

Final Velocity given Displacement, Uniform Acceleration and Initial Velocity of Particle Solution

Final Velocity given Displacement, Uniform Acceleration and Initial Velocity of Particle Formula Elements

Other formulas in Motion under Acceleration category

How to Evaluate Final Velocity given Displacement, Uniform Acceleration and Initial Velocity of Particle?

FAQs on Final Velocity given Displacement, Uniform Acceleration and Initial Velocity of Particle

Variable Name