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

✖Initial Velocity is the velocity at which motion an object starts.ⓘ Initial Velocity [u]			+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%

✖The Final Velocity is the speed of a moving body after it has reached its maximum acceleration.ⓘ Final Velocity given Displacement, Uniform Acceleration and Initial Velocity of Particle [v_f]

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

STEP 0: Pre-Calculation Summary

Formula Used

Final Velocity = sqrt(Initial Velocity^2+2*Acceleration For Linear Motion*Displacement)
v_f = sqrt(u^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

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.
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

Initial Velocity: 33 Meter per Second --> 33 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

v_f = sqrt(u^2+2*a_lm*d) --> sqrt(33^2+2*3.6*82.23)

Evaluating ... ...

v_f = 41.0006829211417

STEP 3: Convert Result to Output's Unit

41.0006829211417 Meter per Second --> No Conversion Required

FINAL ANSWER

41.0006829211417 ≈ 41.00068 Meter per Second <-- Final Velocity

(Calculation completed in 00.008 seconds)

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Institute of Aeronautical Engineering (IARE), Hyderabad

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< Motion under Acceleration Calculators

Velocity of Particle after Certain Time

LaTeX Go Velocity of Linear Motion = Initial Velocity+Acceleration For Linear Motion*Time

Distance Travelled by Particle

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

Average Velocity

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

Distance Traveled by Particle given Average Velocity

LaTeX Go Distance Traveled = Average Velocity*Time

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

LaTeX Go

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

Final Velocity given Displacement, Uniform Acceleration and Initial Velocity of Particle calculator uses Final Velocity = sqrt(Initial Velocity^2+2*Acceleration For Linear Motion*Displacement) to calculate 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 calculate Final Velocity given Displacement, Uniform Acceleration and Initial Velocity of Particle using this online calculator? To use this online calculator 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. Here is how the Final Velocity given Displacement, Uniform Acceleration and Initial Velocity of Particle calculation can be explained with given input values -> 41.00068 = sqrt(33^2+2*3.6*82.23).

FAQ

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

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 and is represented as v_f = sqrt(u^2+2*a_lm*d) or Final Velocity = sqrt(Initial Velocity^2+2*Acceleration For Linear Motion*Displacement). Initial Velocity is the velocity at which motion an object starts, 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 Final Velocity given Displacement, Uniform Acceleration and Initial Velocity of Particle?

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 is calculated using Final Velocity = sqrt(Initial Velocity^2+2*Acceleration For Linear Motion*Displacement). To calculate Final Velocity given Displacement, Uniform Acceleration and Initial Velocity of Particle, you need Initial Velocity (u), Acceleration For Linear Motion (a_lm) & Displacement (d). With our tool, you need to enter the respective value for Initial 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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