Displacement of Body given Initial Velocity Final Velocity and Acceleration Calculator

✖Final Velocity is the velocity of an object after a certain period of time or distance, describing the object's motion at a specific point.ⓘ Final Velocity [v_f]			+10% -10%
✖Initial Velocity is the velocity of an object at the start of a motion, describing the object's initial state of motion.ⓘ Initial Velocity [u]			+10% -10%
✖Acceleration of Body is the rate of change of velocity of an object with respect to time, describing its increasing or decreasing speed.ⓘ Acceleration of Body [a]			+10% -10%

✖Displacement of Body is the shortest distance from the initial to the final position of an object in a specific direction.ⓘ Displacement of Body given Initial Velocity Final Velocity and Acceleration [s_body]

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Displacement of Body given Initial Velocity Final Velocity and Acceleration Solution

STEP 0: Pre-Calculation Summary

Formula Used

Displacement of Body = (Final Velocity^2-Initial Velocity^2)/(2*Acceleration of Body)
s_body = (v_f^2-u^2)/(2*a)
This formula uses 4 Variables

Variables Used

Displacement of Body - (Measured in Meter) - Displacement of Body is the shortest distance from the initial to the final position of an object in a specific direction.
Final Velocity - (Measured in Meter per Second) - Final Velocity is the velocity of an object after a certain period of time or distance, describing the object's motion at a specific point.
Initial Velocity - (Measured in Meter per Second) - Initial Velocity is the velocity of an object at the start of a motion, describing the object's initial state of motion.
Acceleration of Body - (Measured in Meter per Square Second) - Acceleration of Body is the rate of change of velocity of an object with respect to time, describing its increasing or decreasing speed.

STEP 1: Convert Input(s) to Base Unit

Final Velocity: 40 Meter per Second --> 40 Meter per Second No Conversion Required
Initial Velocity: 35 Meter per Second --> 35 Meter per Second No Conversion Required
Acceleration of Body: 0.834 Meter per Square Second --> 0.834 Meter per Square Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

s_body = (v_f^2-u^2)/(2*a) --> (40^2-35^2)/(2*0.834)

Evaluating ... ...

s_body = 224.820143884892

STEP 3: Convert Result to Output's Unit

224.820143884892 Meter --> No Conversion Required

FINAL ANSWER

224.820143884892 ≈ 224.8201 Meter <-- Displacement of Body

(Calculation completed in 00.020 seconds)

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Displacement of Body given Initial Velocity Final Velocity and Acceleration Formula

LaTeX Go

Displacement of Body = (Final Velocity^2-Initial Velocity^2)/(2*Acceleration of Body)
s_body = (v_f^2-u^2)/(2*a)

What is Displacement?

A displacement may be identified with the translation that maps the initial position to the final position. A displacement may be also described as a relative position (resulting from the motion).

How to Calculate Displacement of Body given Initial Velocity Final Velocity and Acceleration?

Displacement of Body given Initial Velocity Final Velocity and Acceleration calculator uses Displacement of Body = (Final Velocity^2-Initial Velocity^2)/(2*Acceleration of Body) to calculate the Displacement of Body, Displacement of Body given Initial Velocity Final Velocity and Acceleration formula is defined as a measure of the total distance traveled by an object from its initial to final position, considering the initial velocity, final velocity, and acceleration of the body in a specific time interval. Displacement of Body is denoted by s_body symbol.

How to calculate Displacement of Body given Initial Velocity Final Velocity and Acceleration using this online calculator? To use this online calculator for Displacement of Body given Initial Velocity Final Velocity and Acceleration, enter Final Velocity (v_f), Initial Velocity (u) & Acceleration of Body (a) and hit the calculate button. Here is how the Displacement of Body given Initial Velocity Final Velocity and Acceleration calculation can be explained with given input values -> 39.0625 = (40^2-35^2)/(2*0.834).

FAQ

What is Displacement of Body given Initial Velocity Final Velocity and Acceleration?

Displacement of Body given Initial Velocity Final Velocity and Acceleration formula is defined as a measure of the total distance traveled by an object from its initial to final position, considering the initial velocity, final velocity, and acceleration of the body in a specific time interval and is represented as s_body = (v_f^2-u^2)/(2*a) or Displacement of Body = (Final Velocity^2-Initial Velocity^2)/(2*Acceleration of Body). Final Velocity is the velocity of an object after a certain period of time or distance, describing the object's motion at a specific point, Initial Velocity is the velocity of an object at the start of a motion, describing the object's initial state of motion & Acceleration of Body is the rate of change of velocity of an object with respect to time, describing its increasing or decreasing speed.

How to calculate Displacement of Body given Initial Velocity Final Velocity and Acceleration?

Displacement of Body given Initial Velocity Final Velocity and Acceleration formula is defined as a measure of the total distance traveled by an object from its initial to final position, considering the initial velocity, final velocity, and acceleration of the body in a specific time interval is calculated using Displacement of Body = (Final Velocity^2-Initial Velocity^2)/(2*Acceleration of Body). To calculate Displacement of Body given Initial Velocity Final Velocity and Acceleration, you need Final Velocity (v_f), Initial Velocity (u) & Acceleration of Body (a). With our tool, you need to enter the respective value for Final Velocity, Initial Velocity & Acceleration of Body 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 Displacement of Body?

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

Displacement of Body = ((Initial Velocity+Final Velocity)/2)*Time Taken to Travel the Path
Displacement of Body = Initial Velocity*Time Taken to Travel the Path+(Acceleration of Body*Time Taken to Travel the Path^2)/2

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