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

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✖The Final Velocity is the speed of a moving body after it has reached its maximum acceleration.ⓘ Final Velocity [v_f]			+10% -10%
✖Acceleration for Linear Motion of body is the rate of change in velocity to the change in time.ⓘ Acceleration for Linear Motion [a_lm]			+10% -10%
✖Displacement refers to an object's overall change in position.ⓘ Displacement [d]			+10% -10%

✖Initial Velocity is the velocity at which motion starts.ⓘ Initial Velocity given Displacement, Uniform Acceleration and Final Velocity of Particle [u]

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Formula

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

Formula

`"u" = sqrt("v"_{"f"}^2-2*"a"_{"lm"}*"d")`

Example

`"36.65984m/s"=sqrt(("44m/s")^2-2*"3.6m/s²"*"82.23m")`

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

STEP 0: Pre-Calculation Summary

Formula Used

Initial Velocity = sqrt(Final Velocity^2-2*Acceleration for Linear Motion*Displacement)
u = sqrt(v_f^2-2*a_lm*d)
This formula uses 1 Functions, 4 Variables

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

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

STEP 1: Convert Input(s) to Base Unit

Final Velocity: 44 Meter per Second --> 44 Meter per Second No Conversion Required
Acceleration for Linear Motion: 3.6 Meter per Square Second --> 3.6 Meter per Square Second No Conversion Required
Displacement: 82.23 Meter --> 82.23 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

u = sqrt(v_f^2-2*a_lm*d) --> sqrt(44^2-2*3.6*82.23)

Evaluating ... ...

u = 36.6598417890749

STEP 3: Convert Result to Output's Unit

36.6598417890749 Meter per Second --> No Conversion Required

FINAL ANSWER

36.6598417890749 ≈ 36.65984 Meter per Second <-- Initial Velocity

(Calculation completed in 00.013 seconds)

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< 11 Motion under Acceleration Calculators

Distance Travelled in n-1 Seconds

Go Displacement in n-1 seconds = Initial Velocity*(Number of Seconds-1)+1/2*Acceleration for Linear Motion*(Number of Seconds-1)^2

Distance Travelled in n Seconds

Go Displacement = Number of Seconds*Initial Velocity+1/2*Acceleration for Linear Motion*Number of Seconds^2

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

Go Final Velocity = sqrt(Initial Velocity^2+2*Acceleration for Linear Motion*Displacement)

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

Go Initial Velocity = sqrt(Final Velocity^2-2*Acceleration for Linear Motion*Displacement)

Distance Travelled in nth Second

Go Displacement in n-1 seconds = Initial Velocity+Acceleration for Linear Motion/2*(2*Number of Seconds-1)

Displacement of Particle

Go Displacement of Particle = (Final Velocity^2-Initial Velocity^2)/(2*Acceleration for Linear Motion)

Velocity of Particle after Certain Time

Go Velocity of Linear Motion = Initial Velocity+Acceleration for Linear Motion*Time

Time Taken by Particle to Change its Initial Velocity to Final Velocity

Go Time = (Final Velocity-Initial Velocity)/Acceleration for Linear Motion

Distance Travelled by Particle

Go Distance Traveled = ((Initial Velocity+Final Velocity)/2)*Time

Average Velocity

Go Average Velocity = (Initial Velocity+Final Velocity)/2

Distance Traveled by Particle given Average Velocity

Go Distance Traveled = Average Velocity*Time

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

Initial Velocity = sqrt(Final Velocity^2-2*Acceleration for Linear Motion*Displacement)
u = sqrt(v_f^2-2*a_lm*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 Initial Velocity given Displacement, Uniform Acceleration and Final Velocity of Particle?

Initial Velocity given Displacement, Uniform Acceleration and Final Velocity of Particle calculator uses Initial Velocity = sqrt(Final Velocity^2-2*Acceleration for Linear Motion*Displacement) to calculate the Initial Velocity, Initial velocity given displacement, uniform acceleration and final velocity of particle formula is defined as the square root of difference of square of the final velocity and two times of product of acceleration and displacement. Initial Velocity is denoted by u symbol.

How to calculate Initial Velocity given Displacement, Uniform Acceleration and Final Velocity of Particle using this online calculator? To use this online calculator 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. Here is how the Initial Velocity given Displacement, Uniform Acceleration and Final Velocity of Particle calculation can be explained with given input values -> 33.00047 = sqrt(44^2-2*3.6*82.23).

FAQ

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

Initial velocity given displacement, uniform acceleration and final velocity of particle formula is defined as the square root of difference of square of the final velocity and two times of product of acceleration and displacement and is represented as u = sqrt(v_f^2-2*a_lm*d) or Initial Velocity = sqrt(Final Velocity^2-2*Acceleration for Linear Motion*Displacement). The Final Velocity is the speed of a moving body after it has reached its maximum acceleration, Acceleration for Linear Motion of body is the rate of change in velocity to the change in time & Displacement refers to an object's overall change in position.

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

Initial velocity given displacement, uniform acceleration and final velocity of particle formula is defined as the square root of difference of square of the final velocity and two times of product of acceleration and displacement is calculated using Initial Velocity = sqrt(Final Velocity^2-2*Acceleration for Linear Motion*Displacement). To calculate Initial Velocity given Displacement, Uniform Acceleration and Final Velocity of Particle, you need Final Velocity (v_f), Acceleration for Linear Motion (a_lm) & Displacement (d). With our tool, you need to enter the respective value for Final Velocity, Acceleration for Linear Motion & Displacement and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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