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

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

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

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

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

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

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

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

36.6598 = \sqrt{44^{2} - 2 \cdot 3.6 \cdot 82.23}

36.6598m/s = \sqrt{{44m/s}^{2} - 2 \cdot 3.6m/s² \cdot 82.23m}

36.6598 = \sqrt{44^{2} - 2 \cdot 3.6 \cdot 82.23}

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

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

u = \sqrt{{44m/s}^{2} - 2 \cdot 3.6m/s² \cdot 82.23m}

Next Step Prepare to Evaluate

∴

u = \sqrt{44^{2} - 2 \cdot 3.6 \cdot 82.23}

Next Step Evaluate

∴

u = 36.6598417890749m/s

LAST Step Rounding Answer

∴

u = 36.6598m/s

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

Variables

Functions

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

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

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

Initial Velocity given Displacement, Uniform Acceleration and Final Velocity of Particle evaluator uses Initial Velocity = sqrt(Final Velocity^2-2*Acceleration For Linear Motion*Displacement) to evaluate the Initial Velocity, Initial Velocity given Displacement, Uniform Acceleration and Final Velocity of Particle formula is defined as a mathematical approach to determine the initial velocity of a particle moving under uniform acceleration, considering the displacement and final velocity of the particle, providing valuable insights into the particle's motion. Initial Velocity is denoted by u symbol.

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

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

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

The formula of Initial Velocity given Displacement, Uniform Acceleration and Final Velocity of Particle is expressed as Initial Velocity = sqrt(Final Velocity^2-2*Acceleration For Linear Motion*Displacement). Here is an example- 36.65984 = sqrt(44^2-2*3.6*82.23).

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

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

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

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

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

Initial Velocity given Displacement, Uniform Acceleration and Final 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 Initial Velocity given Displacement, Uniform Acceleration and Final Velocity of Particle can be measured.

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

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

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

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

Other formulas in Motion under Acceleration category

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

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

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