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

✖Initial Velocity is the velocity at which motion an object starts.ⓘ Initial Velocity [u]			+10% -10%
✖Displacement refers to an object's overall change in position.ⓘ Displacement [d]			+10% -10%

✖The Final Velocity is the speed of a moving body after it has reached its maximum acceleration.ⓘ Final Velocity in Free Fall under Gravity given Initial Velocity and Displacement [v_f]

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

STEP 0: Pre-Calculation Summary

Formula Used

Final Velocity = sqrt(Initial Velocity^2+2*[g]*Displacement)
v_f = sqrt(u^2+2*[g]*d)
This formula uses 1 Constants, 1 Functions, 3 Variables

Constants Used

[g] - Gravitational acceleration on Earth Value Taken As 9.80665

Functions Used

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., sqrt(Number)

Variables Used

Final Velocity - (Measured in Meter per Second) - The Final Velocity is the speed of a moving body after it has reached its maximum acceleration.
Initial Velocity - (Measured in Meter per Second) - Initial Velocity is the velocity at which motion an object starts.
Displacement - (Measured in Meter) - Displacement refers to an object's overall change in position.

STEP 1: Convert Input(s) to Base Unit

Initial Velocity: 33 Meter per Second --> 33 Meter per Second No Conversion Required
Displacement: 82.23 Meter --> 82.23 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

v_f = sqrt(u^2+2*[g]*d) --> sqrt(33^2+2*[g]*82.23)

Evaluating ... ...

v_f = 51.9788578077664

STEP 3: Convert Result to Output's Unit

51.9788578077664 Meter per Second --> No Conversion Required

FINAL ANSWER

51.9788578077664 ≈ 51.97886 Meter per Second <-- Final Velocity

(Calculation completed in 00.004 seconds)

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Institute of Aeronautical Engineering (IARE), Hyderabad

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< Motion under Force of Gravity Calculators

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

LaTeX Go Distance Traveled in Free Fall = Initial Velocity*Time+1/2*[g]*Time^2

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

LaTeX Go Final Velocity = sqrt(Initial Velocity^2+2*[g]*Displacement)

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

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

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

LaTeX Go Final Velocity = Initial Velocity+[g]*Time

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

LaTeX Go

Final Velocity = sqrt(Initial Velocity^2+2*[g]*Displacement)
v_f = sqrt(u^2+2*[g]*d)

What is velocity?

The meaning of velocity of an object can be defined as the rate of change of the object’s position with respect to a frame of reference and time. It is a vector quantity, which means we need both magnitude (speed) and direction to define velocity.

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

Final Velocity in Free Fall under Gravity given Initial Velocity and Displacement calculator uses Final Velocity = sqrt(Initial Velocity^2+2*[g]*Displacement) to calculate 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 calculate Final Velocity in Free Fall under Gravity given Initial Velocity and Displacement using this online calculator? To use this online calculator for Final Velocity in Free Fall under Gravity given Initial Velocity and Displacement, enter Initial Velocity (u) & Displacement (d) and hit the calculate button. Here is how the Final Velocity in Free Fall under Gravity given Initial Velocity and Displacement calculation can be explained with given input values -> 51.97886 = sqrt(33^2+2*[g]*82.23).

FAQ

What is Final Velocity in Free Fall under Gravity given Initial Velocity and Displacement?

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 and is represented as v_f = sqrt(u^2+2*[g]*d) or Final Velocity = sqrt(Initial Velocity^2+2*[g]*Displacement). Initial Velocity is the velocity at which motion an object starts & Displacement refers to an object's overall change in position.

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

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 is calculated using Final Velocity = sqrt(Initial Velocity^2+2*[g]*Displacement). To calculate Final Velocity in Free Fall under Gravity given Initial Velocity and Displacement, you need Initial Velocity (u) & Displacement (d). With our tool, you need to enter the respective value for Initial Velocity & Displacement and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Final Velocity?

In this formula, Final Velocity uses Initial Velocity & Displacement. We can use 2 other way(s) to calculate the same, which is/are as follows -

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

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