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

STEP 0: Pre-Calculation Summary
Formula Used
Velocity on Reaching Ground = sqrt(2*Acceleration due to Gravity*Height of Crack)
V = sqrt(2*g*h)
This formula uses 1 Functions, 3 Variables
Functions Used
sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)
Variables Used
Velocity on Reaching Ground - Velocity on Reaching Ground is the velocity of a freely falling body after falling through a distance h.
Acceleration due to Gravity - (Measured in Meter per Square Second) - Acceleration due to Gravity is acceleration gained by an object because of gravitational force.
Height of Crack - (Measured in Meter) - Height of Crack is the size of a flaw or crack in a material that can lead to catastrophic failure under a given stress.
STEP 1: Convert Input(s) to Base Unit
Acceleration due to Gravity: 9.8 Meter per Square Second --> 9.8 Meter per Square Second No Conversion Required
Height of Crack: 12000 Millimeter --> 12 Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
V = sqrt(2*g*h) --> sqrt(2*9.8*12)
Evaluating ... ...
V = 15.3362316101447
STEP 3: Convert Result to Output's Unit
15.3362316101447 --> No Conversion Required
FINAL ANSWER
15.3362316101447 15.33623 <-- Velocity on Reaching Ground
(Calculation completed in 00.020 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

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

Velocity on Reaching Ground = sqrt(2*Acceleration due to Gravity*Height of Crack)
V = sqrt(2*g*h)

What is Free-Falling Body?

A free-falling object is an object that is falling under the sole influence of gravity. Any object that is being acted upon only by the force of gravity is said to be in a state of free fall. Free-falling objects do not encounter air resistance.

How to Calculate Final Velocity of Freely Falling Body from Height when it Reaches Ground?

Final Velocity of Freely Falling Body from Height when it Reaches Ground calculator uses Velocity on Reaching Ground = sqrt(2*Acceleration due to Gravity*Height of Crack) to calculate the Velocity on Reaching Ground, Final velocity of freely falling body from height when it reaches ground is speed just before touching the ground. Once it touches the ground, the object is no longer in freefall. Velocity on Reaching Ground is denoted by V symbol.

How to calculate Final Velocity of Freely Falling Body from Height when it Reaches Ground using this online calculator? To use this online calculator for Final Velocity of Freely Falling Body from Height when it Reaches Ground, enter Acceleration due to Gravity (g) & Height of Crack (h) and hit the calculate button. Here is how the Final Velocity of Freely Falling Body from Height when it Reaches Ground calculation can be explained with given input values -> 15.34262 = sqrt(2*9.8*12).

FAQ

What is Final Velocity of Freely Falling Body from Height when it Reaches Ground?
Final velocity of freely falling body from height when it reaches ground is speed just before touching the ground. Once it touches the ground, the object is no longer in freefall and is represented as V = sqrt(2*g*h) or Velocity on Reaching Ground = sqrt(2*Acceleration due to Gravity*Height of Crack). Acceleration due to Gravity is acceleration gained by an object because of gravitational force & Height of Crack is the size of a flaw or crack in a material that can lead to catastrophic failure under a given stress.
How to calculate Final Velocity of Freely Falling Body from Height when it Reaches Ground?
Final velocity of freely falling body from height when it reaches ground is speed just before touching the ground. Once it touches the ground, the object is no longer in freefall is calculated using Velocity on Reaching Ground = sqrt(2*Acceleration due to Gravity*Height of Crack). To calculate Final Velocity of Freely Falling Body from Height when it Reaches Ground, you need Acceleration due to Gravity (g) & Height of Crack (h). With our tool, you need to enter the respective value for Acceleration due to Gravity & Height of Crack 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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