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Displacement of Body given Initial Velocity Acceleration and Time Formula

GoDisplacement of Body given Initial Velocity Final Velocity and Acceleration Formula

GoDisplacement of Body given Initial Velocity and Final Velocity Formula

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Displacement of Body is the shortest distance from the initial to the final position of an object in a specific direction. Check FAQs

s body = u \cdot t + \frac{a \cdot t^{2}}{2}

s_body - Displacement of Body?u - Initial Velocity?t - Time Taken to Travel the Path?a - Acceleration of Body?

Displacement of Body given Initial Velocity Acceleration and Time Example

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Here is how the Displacement of Body given Initial Velocity Acceleration and Time equation looks like with Values.

Here is how the Displacement of Body given Initial Velocity Acceleration and Time equation looks like with Units.

Here is how the Displacement of Body given Initial Velocity Acceleration and Time equation looks like.

225.012 = 35 \cdot 6 + \frac{0.834 \cdot 6^{2}}{2}

225.012m = 35m/s \cdot 6s + \frac{0.834m/s² \cdot {6s}^{2}}{2}

225.012 = 35 \cdot 6 + \frac{0.834 \cdot 6^{2}}{2}

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Displacement of Body given Initial Velocity Acceleration and Time Solution

Follow our step by step solution on how to calculate Displacement of Body given Initial Velocity Acceleration and Time?

FIRST Step Consider the formula

s body = u \cdot t + \frac{a \cdot t^{2}}{2}

Next Step Substitute values of Variables

∴

s body = 35m/s \cdot 6s + \frac{0.834m/s² \cdot {6s}^{2}}{2}

Next Step Prepare to Evaluate

∴

s body = 35 \cdot 6 + \frac{0.834 \cdot 6^{2}}{2}

LAST Step Evaluate

∴

s body = 225.012m

Displacement of Body given Initial Velocity Acceleration and Time Formula Elements

Variables

Displacement of Body

Displacement of Body is the shortest distance from the initial to the final position of an object in a specific direction.

Symbol: s_body

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Displacement of Body

Initial Velocity

Initial Velocity is the velocity of an object at the start of a motion, describing the object's initial state of motion.

Symbol: u

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Initial Velocity

Time Taken to Travel the Path

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.

Symbol: t

Measurement: TimeUnit: s

Note: Value should be greater than 0.

Formulas to find Time Taken to Travel the Path

Acceleration of Body

Acceleration of Body is the rate of change of velocity of an object with respect to time, describing its increasing or decreasing speed.

Symbol: a

Measurement: AccelerationUnit: m/s²

Note: Value can be positive or negative.

Formulas to find Acceleration of Body

Other Formulas to find Displacement of Body

Go Displacement of Body given Initial Velocity Final Velocity and Acceleration

s body = \frac{{v f}^{2} - u^{2}}{2 \cdot a}

Go Displacement of Body given Initial Velocity and Final Velocity

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

Other formulas in Kinematics category

Go Final Angular Velocity given Initial Angular Velocity Angular Acceleration and Time

ω 1 = ω o + α \cdot t

Go Final Velocity of Body

v f = u + a \cdot t

Go Final Velocity of Freely Falling Body from Height when it Reaches Ground

V = \sqrt{2 \cdot g \cdot v}

Go Normal Acceleration

a n = ω^{2} \cdot R c

How to Evaluate Displacement of Body given Initial Velocity Acceleration and Time?

Displacement of Body given Initial Velocity Acceleration and Time evaluator uses Displacement of Body = Initial Velocity*Time Taken to Travel the Path+(Acceleration of Body*Time Taken to Travel the Path^2)/2 to evaluate 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 evaluate Displacement of Body given Initial Velocity Acceleration and Time using this online evaluator? To use this online evaluator 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.

FAQs on Displacement of Body given Initial Velocity Acceleration and Time

What is the formula to find Displacement of Body given Initial Velocity Acceleration and Time?

The formula of Displacement of Body given Initial Velocity Acceleration and Time is expressed as Displacement of Body = Initial Velocity*Time Taken to Travel the Path+(Acceleration of Body*Time Taken to Travel the Path^2)/2. Here is an example- 296.4 = 35*6+(0.834*6^2)/2.

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

With Initial Velocity (u), Time Taken to Travel the Path (t) & Acceleration of Body (a) we can find Displacement of Body given Initial Velocity Acceleration and Time using the formula - Displacement of Body = Initial Velocity*Time Taken to Travel the Path+(Acceleration of Body*Time Taken to Travel the Path^2)/2.

What are the other ways to Calculate Displacement of Body?

Here are the different ways to Calculate Displacement of Body-

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

Can the Displacement of Body given Initial Velocity Acceleration and Time be negative?

Yes, the Displacement of Body given Initial Velocity Acceleration and Time, measured in Length can be negative.

Which unit is used to measure Displacement of Body given Initial Velocity Acceleration and Time?

Displacement of Body given Initial Velocity Acceleration and Time is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Displacement of Body given Initial Velocity Acceleration and Time can be measured.

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