Distance Travelled in Nth Second (Accelerated Translatory Motion) Calculator

✖Initial Velocity is the velocity at which motion starts.ⓘ Initial Velocity [u]			+10% -10%
✖The Nth Second is the n seconds time covered by the body.ⓘ Nth Second [n_th]			+10% -10%
✖Acceleration of Body is the rate of change in velocity to the change in time.ⓘ Acceleration of Body [a]			+10% -10%

✖Distance Traveled defines how much path an object has covered to reach its destination in a given period.ⓘ Distance Travelled in Nth Second (Accelerated Translatory Motion) [D]

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Formula

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Distance Travelled in Nth Second (Accelerated Translatory Motion)

Formula

`"D" = "u"+((2*"n"_{"th"}-1)/2)*"a"`

Example

`"51.8m"="35m/s"+((2*"4s"-1)/2)*"4.8m/s²"`

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Distance Travelled in Nth Second (Accelerated Translatory Motion) Solution

STEP 0: Pre-Calculation Summary

Formula Used

Distance Traveled = Initial Velocity+((2*Nth Second-1)/2)*Acceleration of Body
D = u+((2*n_th-1)/2)*a
This formula uses 4 Variables

Variables Used

Distance Traveled - (Measured in Meter) - Distance Traveled defines how much path an object has covered to reach its destination in a given period.
Initial Velocity - (Measured in Meter per Second) - Initial Velocity is the velocity at which motion starts.
Nth Second - (Measured in Second) - The Nth Second is the n seconds time covered by the body.
Acceleration of Body - (Measured in Meter per Square Second) - Acceleration of Body is the rate of change in velocity to the change in time.

STEP 1: Convert Input(s) to Base Unit

Initial Velocity: 35 Meter per Second --> 35 Meter per Second No Conversion Required
Nth Second: 4 Second --> 4 Second No Conversion Required
Acceleration of Body: 4.8 Meter per Square Second --> 4.8 Meter per Square Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

D = u+((2*n_th-1)/2)*a --> 35+((2*4-1)/2)*4.8

Evaluating ... ...

D = 51.8

STEP 3: Convert Result to Output's Unit

51.8 Meter --> No Conversion Required

FINAL ANSWER

51.8 Meter <-- Distance Traveled

(Calculation completed in 00.004 seconds)

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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

Distance Travelled in Nth Second (Accelerated Translatory Motion) Formula

Distance Traveled = Initial Velocity+((2*Nth Second-1)/2)*Acceleration of Body
D = u+((2*n_th-1)/2)*a

What is distance travelled?

The distance travelled is the path taken by a body to get from an initial point to an end point in a given period of time, at a certain velocity. If the velocity is constant: Distance = time * velocity. The equation is written. d = v*t.

How to Calculate Distance Travelled in Nth Second (Accelerated Translatory Motion)?

Distance Travelled in Nth Second (Accelerated Translatory Motion) calculator uses Distance Traveled = Initial Velocity+((2*Nth Second-1)/2)*Acceleration of Body to calculate the Distance Traveled, Distance Travelled in Nth Second (Accelerated Translatory Motion) is the distance Sn traveled during the Nth second of motion. Distance Traveled is denoted by D symbol.

How to calculate Distance Travelled in Nth Second (Accelerated Translatory Motion) using this online calculator? To use this online calculator for Distance Travelled in Nth Second (Accelerated Translatory Motion), enter Initial Velocity (u), Nth Second (n_th) & Acceleration of Body (a) and hit the calculate button. Here is how the Distance Travelled in Nth Second (Accelerated Translatory Motion) calculation can be explained with given input values -> 51.8 = 35+((2*4-1)/2)*4.8.

FAQ

What is Distance Travelled in Nth Second (Accelerated Translatory Motion)?

Distance Travelled in Nth Second (Accelerated Translatory Motion) is the distance Sn traveled during the Nth second of motion and is represented as D = u+((2*n_th-1)/2)*a or Distance Traveled = Initial Velocity+((2*Nth Second-1)/2)*Acceleration of Body. Initial Velocity is the velocity at which motion starts, The Nth Second is the n seconds time covered by the body & Acceleration of Body is the rate of change in velocity to the change in time.

How to calculate Distance Travelled in Nth Second (Accelerated Translatory Motion)?

Distance Travelled in Nth Second (Accelerated Translatory Motion) is the distance Sn traveled during the Nth second of motion is calculated using Distance Traveled = Initial Velocity+((2*Nth Second-1)/2)*Acceleration of Body. To calculate Distance Travelled in Nth Second (Accelerated Translatory Motion), you need Initial Velocity (u), Nth Second (n_th) & Acceleration of Body (a). With our tool, you need to enter the respective value for Initial Velocity, Nth Second & Acceleration of Body and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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