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
sbody = ((u+vf)/2)*t
This formula uses 4 Variables
Variables Used
Displacement of Body - (Measured in Meter) - Displacement of Body is defined to be the change in position of an object.
Initial Velocity - (Measured in Meter per Second) - Initial Velocity is the velocity at which motion 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.
Time Taken to Travel the Path - (Measured in Second) - Time Taken to Travel the Path is the total time taken by an object to reach its destination.
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
sbody = ((u+vf)/2)*t --> ((35+40)/2)*6
Evaluating ... ...
sbody = 225
STEP 3: Convert Result to Output's Unit
225 Meter --> No Conversion Required
FINAL ANSWER
225 Meter <-- Displacement of Body
(Calculation completed in 00.004 seconds)

Credits

Created by Anshika Arya
National Institute Of Technology (NIT), Hamirpur
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18 Kinematics Calculators

Angular Displacement given Initial Angular Velocity Angular Acceleration and Time
Go Angular Displacement = Initial Angular Velocity*Time Taken to Travel the Path+(Angular Acceleration*Time Taken to Travel the Path^2)/2
Displacement of Body given Initial Velocity Acceleration and Time
Go Displacement of Body = Initial Velocity*Time Taken to Travel the Path+(Acceleration of Body*Time Taken to Travel the Path^2)/2
Angular Displacement given Initial Angular Velocity Final Angular Velocity and Time
Go Angular Displacement = ((Initial Angular Velocity+Final Angular Velocity)/2)*Time Taken to Travel the Path
Angular Displacement of Body for given Initial and Final Angular Velocity
Go Angular Displacement = (Final Angular Velocity^2-Initial Angular Velocity^2)/(2*Angular Acceleration)
Final Angular Velocity given Initial Angular Velocity Angular Acceleration and Time
Go Final Angular Velocity = Initial Angular Velocity+Angular Acceleration*Time Taken to Travel the Path
Displacement of Body given Initial Velocity and Final Velocity
Go Displacement of Body = ((Initial Velocity+Final Velocity)/2)*Time Taken to Travel the Path
Angle Traced in Nth Second (Accelerated Rotatory Motion)
Go Angular Displacement = Initial Angular Velocity+((2*Nth Second-1)/2)*Angular Acceleration
Displacement of Body given Initial Velocity Final Velocity and Acceleration
Go Displacement of Body = (Final Velocity^2-Initial Velocity^2)/(2*Acceleration of Body)
Final Velocity of Body
Go Final Velocity = Initial Velocity+Acceleration of Body*Time Taken to Travel the Path
Final Velocity of Freely Falling Body from Height when it Reaches Ground
Go Velocity on Reaching Ground = sqrt(2*Acceleration due to Gravity*Height of Crack)
Distance Travelled in Nth Second (Accelerated Translatory Motion)
Go Distance Traveled = Initial Velocity+((2*Nth Second-1)/2)*Acceleration of Body
Resultant Acceleration
Go Resultant Acceleration = sqrt(Tangential Acceleration^2+Normal Acceleration^2)
Angle of Inclination of Resultant Acceleration with Tangential Acceleration
Go Inclination Angle = atan(Normal Acceleration/Tangential Acceleration)
Tangential Acceleration
Go Tangential Acceleration = Angular Acceleration*Radius of Curvature
Centripetal or Radial Acceleration
Go Angular Acceleration = Angular Velocity^2*Radius of Curvature
Normal Acceleration
Go Normal Acceleration = Angular Velocity^2*Radius of Curvature
Angular Velocity given Tangential Velocity
Go Angular Velocity = Tangential Velocity/Radius of Curvature
Average Velocity of Body given Initial and Final Velocity
Go Average Velocity = (Initial Velocity+Final Velocity)/2

Displacement of Body given Initial Velocity and Final Velocity Formula

Displacement of Body = ((Initial Velocity+Final Velocity)/2)*Time Taken to Travel the Path
sbody = ((u+vf)/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 is defined as the distance moved by a body with respect to a certain fixed point. It is a vector quantity and has a direction and magnitude. Displacement of Body is denoted by sbody 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 (vf) & 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 is defined as the distance moved by a body with respect to a certain fixed point. It is a vector quantity and has a direction and magnitude and is represented as sbody = ((u+vf)/2)*t or Displacement of Body = ((Initial Velocity+Final Velocity)/2)*Time Taken to Travel the Path. Initial Velocity is the velocity at which motion starts, The Final Velocity is the speed of a moving body after it has reached its maximum acceleration & Time Taken to Travel the Path is the total time taken by an object to reach its destination.
How to calculate Displacement of Body given Initial Velocity and Final Velocity?
Displacement of Body given Initial Velocity and Final Velocity is defined as the distance moved by a body with respect to a certain fixed point. It is a vector quantity and has a direction and magnitude 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 (vf) & 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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