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Final Velocity in Free Fall under Gravity given Initial Velocity and Displacement Formula

GoFinal Velocity in Free Fall under Gravity given Initial Velocity and Time Formula

GoFinal Velocity when Particle is Projected Upwards using Initial Velocity and Time Formula

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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 [g] \cdot d}

v_f - Final Velocity?u - Initial Velocity?d - Displacement?[g] - Gravitational acceleration on Earth?

Final Velocity in Free Fall under Gravity given Initial Velocity and Displacement Example

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Here is how the Final Velocity in Free Fall under Gravity given Initial Velocity and Displacement equation looks like with Values.

Here is how the Final Velocity in Free Fall under Gravity given Initial Velocity and Displacement equation looks like with Units.

Here is how the Final Velocity in Free Fall under Gravity given Initial Velocity and Displacement equation looks like.

51.9789 = \sqrt{33^{2} + 2 \cdot 9.8066 \cdot 82.23}

51.9789m/s = \sqrt{{33m/s}^{2} + 2 \cdot 9.8066m/s² \cdot 82.23m}

51.9789 = \sqrt{33^{2} + 2 \cdot 9.8066 \cdot 82.23}

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Final Velocity in Free Fall under Gravity given Initial Velocity and Displacement Solution

Follow our step by step solution on how to calculate Final Velocity in Free Fall under Gravity given Initial Velocity and Displacement?

FIRST Step Consider the formula

v f = \sqrt{u^{2} + 2 \cdot [g] \cdot d}

Next Step Substitute values of Variables

∴

v f = \sqrt{{33m/s}^{2} + 2 \cdot [g] \cdot 82.23m}

Next Step Substitute values of Constants

∴

v f = \sqrt{{33m/s}^{2} + 2 \cdot 9.8066m/s² \cdot 82.23m}

Next Step Prepare to Evaluate

∴

v f = \sqrt{33^{2} + 2 \cdot 9.8066 \cdot 82.23}

Next Step Evaluate

∴

v f = 51.9788578077664m/s

LAST Step Rounding Answer

∴

v f = 51.9789m/s

Final Velocity in Free Fall under Gravity given Initial Velocity and Displacement Formula Elements

Variables

Constants

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

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

Gravitational acceleration on Earth

Gravitational acceleration on Earth means that the velocity of an object in free fall will increase by 9.8 m/s2 every second.

Symbol: [g]

Value: 9.80665 m/s²

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 to find Final Velocity

Go Final Velocity in Free Fall under Gravity given Initial Velocity and Time

v f = u + [g] \cdot t

Go Final Velocity when Particle is Projected Upwards using Initial Velocity and Time

v f = - u + [g] \cdot t

Other formulas in Motion under Force of Gravity category

Go Distance Travelled in Free Fall under Gravity given Initial Velocity and Time

d f = u \cdot t + \frac{1}{2} \cdot [g] \cdot t^{2}

Go Distance Travelled when Particle is Projected Upwards using Initial Velocity and Time

d u = - u \cdot t + \frac{1}{2} \cdot [g] \cdot t^{2}

How to Evaluate Final Velocity in Free Fall under Gravity given Initial Velocity and Displacement?

Final Velocity in Free Fall under Gravity given Initial Velocity and Displacement evaluator uses Final Velocity = sqrt(Initial Velocity^2+2*[g]*Displacement) to evaluate the Final Velocity, Final Velocity in Free Fall under Gravity given Initial Velocity and Displacement formula is defined as a measure of the velocity an object reaches as it falls freely under the sole influence of gravity, considering the initial velocity and displacement of the object from its initial position. Final Velocity is denoted by v_f symbol.

How to evaluate Final Velocity in Free Fall under Gravity given Initial Velocity and Displacement using this online evaluator? To use this online evaluator for Final Velocity in Free Fall under Gravity given Initial Velocity and Displacement, enter Initial Velocity (u) & Displacement (d) and hit the calculate button.

FAQs on Final Velocity in Free Fall under Gravity given Initial Velocity and Displacement

What is the formula to find Final Velocity in Free Fall under Gravity given Initial Velocity and Displacement?

The formula of Final Velocity in Free Fall under Gravity given Initial Velocity and Displacement is expressed as Final Velocity = sqrt(Initial Velocity^2+2*[g]*Displacement). Here is an example- 51.97886 = sqrt(33^2+2*[g]*82.23).

How to calculate Final Velocity in Free Fall under Gravity given Initial Velocity and Displacement?

With Initial Velocity (u) & Displacement (d) we can find Final Velocity in Free Fall under Gravity given Initial Velocity and Displacement using the formula - Final Velocity = sqrt(Initial Velocity^2+2*[g]*Displacement). This formula also uses Gravitational acceleration on Earth constant(s) and Square Root (sqrt) function(s).

What are the other ways to Calculate Final Velocity?

Here are the different ways to Calculate Final Velocity-

Final Velocity=Initial Velocity+[g]*Time
Final Velocity=-Initial Velocity+[g]*Time

Can the Final Velocity in Free Fall under Gravity given Initial Velocity and Displacement be negative?

Yes, the Final Velocity in Free Fall under Gravity given Initial Velocity and Displacement, measured in Speed can be negative.

Which unit is used to measure Final Velocity in Free Fall under Gravity given Initial Velocity and Displacement?

Final Velocity in Free Fall under Gravity given Initial Velocity and Displacement 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 in Free Fall under Gravity given Initial Velocity and Displacement can be measured.

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Final Velocity in Free Fall under Gravity given Initial Velocity and Displacement Formula

​GoFinal Velocity in Free Fall under Gravity given Initial Velocity and Time Formula

​GoFinal Velocity when Particle is Projected Upwards using Initial Velocity and Time Formula

Final Velocity in Free Fall under Gravity given Initial Velocity and Displacement Example

Final Velocity in Free Fall under Gravity given Initial Velocity and Displacement Solution

Final Velocity in Free Fall under Gravity given Initial Velocity and Displacement Formula Elements

Other Formulas to find Final Velocity

Other formulas in Motion under Force of Gravity category

How to Evaluate Final Velocity in Free Fall under Gravity given Initial Velocity and Displacement?

FAQs on Final Velocity in Free Fall under Gravity given Initial Velocity and Displacement

Variable Name

GoFinal Velocity in Free Fall under Gravity given Initial Velocity and Time Formula

GoFinal Velocity when Particle is Projected Upwards using Initial Velocity and Time Formula