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

✖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 an object starts.ⓘ Initial Velocity given Displacement, Uniform Acceleration and Final Velocity of Particle [u]

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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 an object 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 00.020 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

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

LaTeX Go

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 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 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 -> 36.65984 = 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 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 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 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 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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