Magnitude of Resultant Final Velocity after Collision of Two Vehicles Solution

STEP 0: Pre-Calculation Summary
Formula Used
Magnitude of Resultant Final Velocity = sqrt(Final Velocity after Collision in X-Direction^2+Final Velocity after Collision in Y-Direction^2)
Vfinal = sqrt(Vfx^2+Vfy^2)
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
Magnitude of Resultant Final Velocity - (Measured in Meter per Second) - Magnitude of Resultant Final Velocity is defined as the resultant velocity of the system of collided vehicles.
Final Velocity after Collision in X-Direction - (Measured in Meter per Second) - Final Velocity after Collision in X-Direction is defined as the change in speed of the vehicle moving in x-direction after its collision.
Final Velocity after Collision in Y-Direction - (Measured in Meter per Second) - Final Velocity after Collision in Y-Direction is defined as the change in velocity of the vehicle moving in y-direction after its collision.
STEP 1: Convert Input(s) to Base Unit
Final Velocity after Collision in X-Direction: 4.44 Meter per Second --> 4.44 Meter per Second No Conversion Required
Final Velocity after Collision in Y-Direction: 6.67 Meter per Second --> 6.67 Meter per Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Vfinal = sqrt(Vfx^2+Vfy^2) --> sqrt(4.44^2+6.67^2)
Evaluating ... ...
Vfinal = 8.01264625451542
STEP 3: Convert Result to Output's Unit
8.01264625451542 Meter per Second --> No Conversion Required
FINAL ANSWER
8.01264625451542 8.012646 Meter per Second <-- Magnitude of Resultant Final Velocity
(Calculation completed in 00.020 seconds)

Credits

Created by Syed Adnan
Ramaiah University of Applied Sciences (RUAS), bangalore
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National Institute Of Technology (NIT), Hamirpur
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13 Vehicle Collision Calculators

Kinetic Energy after Collision of Vehicles
Go Kinetic Energy after Collision of Vehicles = (Mass of First Vehicle before Collision/(Mass of First Vehicle before Collision+Mass of Second Vehicle before Collision))*Kinetic Energy before Collision of Vehicles
Velocity of Occupant with Respect to Vehicle after Collision
Go Relative Velocity of Occupant after Collision = Initial Velocity before Collision*sqrt(Stopping Distance of Occupant/Stopping Distance of Vehicle)
Magnitude of Resultant Final Velocity after Collision of Two Vehicles
Go Magnitude of Resultant Final Velocity = sqrt(Final Velocity after Collision in X-Direction^2+Final Velocity after Collision in Y-Direction^2)
Direction of Final Velocity of Vehicles after Collision
Go Direction of Final Velocity = atan(Final Velocity after Collision in Y-Direction/Final Velocity after Collision in X-Direction)
Impact Force on Vehicle after Crash
Go Impact Force on Vehicle after Crash = (0.5*Vehicle Mass*Forward Velocity of Vehicle^2)/(Stopping Distance of Vehicle)
Total Momentum in y-Direction before Collision of Two Vehicles
Go Total Momentum in Y-Direction before Collision = Momentum of First Car before Collision in Y-Dir+Momentum of Second Car before Collision in Y-Dir
Acceleration of Airbag
Go Acceleration of Airbag = (Final Velocity of Airbag^2-Initial Velocity of Airbag^2)/(2*Distance Traveled by Airbag)
Total Momentum in x-Direction before Collision of Two Vehicles
Go Total Momentum in X-Direction before Collision = Total Momentum of First Vehicle in X-Direction+Total Momentum Second Vehicle in X-Direction
Time of Occupant to Stop after Contacting Interiors during Collision
Go Time of Occupant to Stop = sqrt((2*Stopping Distance of Occupant)/Constant Deceleration of Vehicle)
Constant Deceleration of Vehicle during Collision
Go Constant Deceleration of Vehicle = 0.5*(Initial Velocity before Collision^2)/Stopping Distance of Vehicle
Stopping Distance of Vehicle after Collision
Go Stopping Distance of Vehicle = 0.5*Initial Velocity before Collision*Stopping Time of Vehicle
Stopping Time of Vehicle after Collision
Go Stopping Time of Vehicle = Initial Velocity before Collision/Constant Deceleration of Vehicle
Force Exerted on Airbag after Collision
Go Force Exerted on Airbag = Mass of Airbag*Acceleration of Airbag

Magnitude of Resultant Final Velocity after Collision of Two Vehicles Formula

Magnitude of Resultant Final Velocity = sqrt(Final Velocity after Collision in X-Direction^2+Final Velocity after Collision in Y-Direction^2)
Vfinal = sqrt(Vfx^2+Vfy^2)

What is the resultant final velocity?

In the collision between the two cars, total system momentum is conserved. Yet this might not be apparent without an understanding of the vector nature of momentum. Momentum, like all vector quantities, has both a magnitude (size) and a direction. When considering the total momentum of the system before the collision, the individual momentum of the two cars must be added as vectors.

How to Calculate Magnitude of Resultant Final Velocity after Collision of Two Vehicles?

Magnitude of Resultant Final Velocity after Collision of Two Vehicles calculator uses Magnitude of Resultant Final Velocity = sqrt(Final Velocity after Collision in X-Direction^2+Final Velocity after Collision in Y-Direction^2) to calculate the Magnitude of Resultant Final Velocity, The Magnitude of resultant final velocity after collision of two vehicles formula is defined as the resultant velocity of the system of collided vehicles. Magnitude of Resultant Final Velocity is denoted by Vfinal symbol.

How to calculate Magnitude of Resultant Final Velocity after Collision of Two Vehicles using this online calculator? To use this online calculator for Magnitude of Resultant Final Velocity after Collision of Two Vehicles, enter Final Velocity after Collision in X-Direction (Vfx) & Final Velocity after Collision in Y-Direction (Vfy) and hit the calculate button. Here is how the Magnitude of Resultant Final Velocity after Collision of Two Vehicles calculation can be explained with given input values -> 8.012646 = sqrt(4.44^2+6.67^2).

FAQ

What is Magnitude of Resultant Final Velocity after Collision of Two Vehicles?
The Magnitude of resultant final velocity after collision of two vehicles formula is defined as the resultant velocity of the system of collided vehicles and is represented as Vfinal = sqrt(Vfx^2+Vfy^2) or Magnitude of Resultant Final Velocity = sqrt(Final Velocity after Collision in X-Direction^2+Final Velocity after Collision in Y-Direction^2). Final Velocity after Collision in X-Direction is defined as the change in speed of the vehicle moving in x-direction after its collision & Final Velocity after Collision in Y-Direction is defined as the change in velocity of the vehicle moving in y-direction after its collision.
How to calculate Magnitude of Resultant Final Velocity after Collision of Two Vehicles?
The Magnitude of resultant final velocity after collision of two vehicles formula is defined as the resultant velocity of the system of collided vehicles is calculated using Magnitude of Resultant Final Velocity = sqrt(Final Velocity after Collision in X-Direction^2+Final Velocity after Collision in Y-Direction^2). To calculate Magnitude of Resultant Final Velocity after Collision of Two Vehicles, you need Final Velocity after Collision in X-Direction (Vfx) & Final Velocity after Collision in Y-Direction (Vfy). With our tool, you need to enter the respective value for Final Velocity after Collision in X-Direction & Final Velocity after Collision in Y-Direction 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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