Displacement of Body given Initial Velocity Acceleration and Time 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%
✖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%
✖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 Acceleration and Time [s_body]

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Displacement of Body given Initial Velocity Acceleration and Time Solution

STEP 0: Pre-Calculation Summary

Formula Used

Displacement of Body = Initial Velocity*Time Taken to Travel the Path+(Acceleration of Body*Time Taken to Travel the Path^2)/2
s_body = u*t+(a*t^2)/2
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.
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.
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

Initial Velocity: 35 Meter per Second --> 35 Meter per Second No Conversion Required
Time Taken to Travel the Path: 6 Second --> 6 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 = u*t+(a*t^2)/2 --> 35*6+(0.834*6^2)/2

Evaluating ... ...

s_body = 225.012

STEP 3: Convert Result to Output's Unit

225.012 Meter --> No Conversion Required

FINAL ANSWER

225.012 Meter <-- Displacement of Body

(Calculation completed in 00.020 seconds)

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Displacement of Body given Initial Velocity Acceleration and Time Formula

LaTeX Go

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

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 Acceleration and Time?

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

How to calculate Displacement of Body given Initial Velocity Acceleration and Time using this online calculator? To use this online calculator for Displacement of Body given Initial Velocity Acceleration and Time, enter Initial Velocity (u), Time Taken to Travel the Path (t) & Acceleration of Body (a) and hit the calculate button. Here is how the Displacement of Body given Initial Velocity Acceleration and Time calculation can be explained with given input values -> 296.4 = 35*6+(0.834*6^2)/2.

FAQ

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

Displacement of Body given Initial Velocity Acceleration and Time formula is defined as a measure of the total distance traveled by an object from its initial position to its final position in a specific time period, considering the initial velocity and acceleration of the object and is represented as s_body = u*t+(a*t^2)/2 or Displacement of Body = Initial Velocity*Time Taken to Travel the Path+(Acceleration of Body*Time Taken to Travel the Path^2)/2. Initial Velocity is the velocity of an object at the start of a motion, describing the object's initial state of motion, 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 & 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 Acceleration and Time?

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

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