Displacement 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%
✖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 of Particle refers to an object's overall change in position.ⓘ Displacement of Particle [d_p]

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Displacement of Particle Solution

STEP 0: Pre-Calculation Summary

Formula Used

Displacement of Particle = (Final Velocity^2-Initial Velocity^2)/(2*Acceleration For Linear Motion)
d_p = (v_f^2-u^2)/(2*a_lm)
This formula uses 4 Variables

Variables Used

Displacement of Particle - (Measured in Meter) - Displacement of Particle refers to an object's overall change in position.
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.

STEP 1: Convert Input(s) to Base Unit

Final Velocity: 44 Meter per Second --> 44 Meter per Second No Conversion Required
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

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d_p = (v_f^2-u^2)/(2*a_lm) --> (44^2-33^2)/(2*3.6)

Evaluating ... ...

d_p = 117.638888888889

STEP 3: Convert Result to Output's Unit

117.638888888889 Meter --> No Conversion Required

FINAL ANSWER

117.638888888889 ≈ 117.6389 Meter <-- Displacement of Particle

(Calculation completed in 00.004 seconds)

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Created by Chilvera Bhanu Teja

Institute of Aeronautical Engineering (IARE), Hyderabad

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Verified by Rajat Vishwakarma

University Institute of Technology RGPV (UIT - RGPV), Bhopal

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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

Displacement of Particle Formula

LaTeX Go

Displacement of Particle = (Final Velocity^2-Initial Velocity^2)/(2*Acceleration For Linear Motion)
d_p = (v_f^2-u^2)/(2*a_lm)

What is displacement?

Displacement is defined as the change in position of an object. It is a vector quantity and has a direction and magnitude. When a particle is moved from one position to another position, this change in position of an object is known as Displacement.

How to Calculate Displacement of Particle?

Displacement of Particle calculator uses Displacement of Particle = (Final Velocity^2-Initial Velocity^2)/(2*Acceleration For Linear Motion) to calculate the Displacement of Particle, Displacement of Particle formula is defined as the total distance traveled by an object from its initial to its final position, describing the object's overall motion, taking into account its initial and final velocities, as well as the acceleration it undergoes. Displacement of Particle is denoted by d_p symbol.

How to calculate Displacement of Particle using this online calculator? To use this online calculator for Displacement of Particle, enter Final Velocity (v_f), Initial Velocity (u) & Acceleration For Linear Motion (a_lm) and hit the calculate button. Here is how the Displacement of Particle calculation can be explained with given input values -> 117.6389 = (44^2-33^2)/(2*3.6).

FAQ

What is Displacement of Particle?

Displacement of Particle formula is defined as the total distance traveled by an object from its initial to its final position, describing the object's overall motion, taking into account its initial and final velocities, as well as the acceleration it undergoes and is represented as d_p = (v_f^2-u^2)/(2*a_lm) or Displacement of Particle = (Final Velocity^2-Initial Velocity^2)/(2*Acceleration For Linear Motion). The Final Velocity is the speed of a moving body after it has reached its maximum acceleration, 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.

How to calculate Displacement of Particle?

Displacement of Particle formula is defined as the total distance traveled by an object from its initial to its final position, describing the object's overall motion, taking into account its initial and final velocities, as well as the acceleration it undergoes is calculated using Displacement of Particle = (Final Velocity^2-Initial Velocity^2)/(2*Acceleration For Linear Motion). To calculate Displacement of Particle, you need Final Velocity (v_f), Initial Velocity (u) & Acceleration For Linear Motion (a_lm). With our tool, you need to enter the respective value for Final Velocity, Initial Velocity & Acceleration For Linear Motion 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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