Displacement of Body given Initial Velocity and Final Velocity Calculator

✖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%
✖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%
✖Time Taken to Travel the Path is the duration required for an object to move from one point to another along a specific path or trajectory.ⓘ Time Taken to Travel the Path [t]			+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 and Final Velocity [s_body]

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Formula

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Displacement of Body given Initial Velocity and Final Velocity

Formula

s body = (\frac{u + v f}{2}) \cdot t

Example

225 m = (\frac{35 m/s + 40 m/s}{2}) \cdot 6 s

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Displacement of Body given Initial Velocity and Final Velocity Solution

STEP 0: Pre-Calculation Summary

Formula Used

Displacement of Body = ((Initial Velocity+Final Velocity)/2)*Time Taken to Travel the Path
s_body = ((u+v_f)/2)*t
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.
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.
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.
Time Taken to Travel the Path - (Measured in Second) - Time Taken to Travel the Path is the duration required for an object to move from one point to another along a specific path or trajectory.

STEP 1: Convert Input(s) to Base Unit

Initial Velocity: 35 Meter per Second --> 35 Meter per Second No Conversion Required
Final Velocity: 40 Meter per Second --> 40 Meter per Second No Conversion Required
Time Taken to Travel the Path: 6 Second --> 6 Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

s_body = ((u+v_f)/2)*t --> ((35+40)/2)*6

Evaluating ... ...

s_body = 225

STEP 3: Convert Result to Output's Unit

225 Meter --> No Conversion Required

FINAL ANSWER

225 Meter <-- Displacement of Body

(Calculation completed in 00.020 seconds)

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National Institute Of Technology (NIT), Hamirpur

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< Kinematics Calculators

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Normal Acceleration

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Displacement of Body given Initial Velocity and Final Velocity Formula

Displacement of Body = ((Initial Velocity+Final Velocity)/2)*Time Taken to Travel the Path
s_body = ((u+v_f)/2)*t

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 and Final Velocity?

Displacement of Body given Initial Velocity and Final Velocity calculator uses Displacement of Body = ((Initial Velocity+Final Velocity)/2)*Time Taken to Travel the Path to calculate the Displacement of Body, Displacement of Body given Initial Velocity and Final Velocity formula is defined as a measure of the total distance traveled by an object from its initial to final position, considering the initial and final velocities, and the time taken to cover that distance, providing insights into the object's motion. Displacement of Body is denoted by s_body symbol.

How to calculate Displacement of Body given Initial Velocity and Final Velocity using this online calculator? To use this online calculator for Displacement of Body given Initial Velocity and Final Velocity, enter Initial Velocity (u), Final Velocity (v_f) & Time Taken to Travel the Path (t) and hit the calculate button. Here is how the Displacement of Body given Initial Velocity and Final Velocity calculation can be explained with given input values -> 225 = ((35+40)/2)*6.

FAQ

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

Displacement of Body given Initial Velocity and Final Velocity formula is defined as a measure of the total distance traveled by an object from its initial to final position, considering the initial and final velocities, and the time taken to cover that distance, providing insights into the object's motion and is represented as s_body = ((u+v_f)/2)*t or Displacement of Body = ((Initial Velocity+Final Velocity)/2)*Time Taken to Travel the Path. Initial Velocity is the velocity of an object at the start of a motion, describing the object's initial state of motion, 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 & Time Taken to Travel the Path is the duration required for an object to move from one point to another along a specific path or trajectory.

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

Displacement of Body given Initial Velocity and Final Velocity formula is defined as a measure of the total distance traveled by an object from its initial to final position, considering the initial and final velocities, and the time taken to cover that distance, providing insights into the object's motion is calculated using Displacement of Body = ((Initial Velocity+Final Velocity)/2)*Time Taken to Travel the Path. To calculate Displacement of Body given Initial Velocity and Final Velocity, you need Initial Velocity (u), Final Velocity (v_f) & Time Taken to Travel the Path (t). With our tool, you need to enter the respective value for Initial Velocity, Final Velocity & Time Taken to Travel the Path 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 Initial Velocity, Final Velocity & Time Taken to Travel the Path. We can use 2 other way(s) to calculate the same, which is/are as follows -

Displacement of Body = (Final Velocity^2-Initial Velocity^2)/(2*Acceleration of Body)
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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