Velocity of Occupant with Respect to Vehicle after Collision Solution

STEP 0: Pre-Calculation Summary
Formula Used
Relative Velocity of Occupant after Collision = Initial Velocity before Collision*sqrt(Stopping Distance of Occupant/Stopping Distance of Vehicle)
Vr = Vo*sqrt(δocc/d)
This formula uses 1 Functions, 4 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
Relative Velocity of Occupant after Collision - (Measured in Meter per Second) - Relative Velocity of Occupant after Collision is defined as the velocity of the occupant at any time during the collision of vehicle.
Initial Velocity before Collision - (Measured in Meter per Second) - Initial Velocity before Collision is defined as the velocity of the vehicle just before its collision with a static object.
Stopping Distance of Occupant - (Measured in Meter) - Stopping Distance of Occupant is defined as the distance covered by occupant from the time the vehicle crashes to the time it comes to rest after collision.
Stopping Distance of Vehicle - (Measured in Meter) - Stopping Distance of Vehicle is defined as the distance covered by the vehicle after its crash from a fixed obstacle.
STEP 1: Convert Input(s) to Base Unit
Initial Velocity before Collision: 11 Meter per Second --> 11 Meter per Second No Conversion Required
Stopping Distance of Occupant: 0.215 Meter --> 0.215 Meter No Conversion Required
Stopping Distance of Vehicle: 0.301 Meter --> 0.301 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Vr = Vo*sqrt(δocc/d) --> 11*sqrt(0.215/0.301)
Evaluating ... ...
Vr = 9.29669680201368
STEP 3: Convert Result to Output's Unit
9.29669680201368 Meter per Second --> No Conversion Required
FINAL ANSWER
9.29669680201368 9.296697 Meter per Second <-- Relative Velocity of Occupant after Collision
(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

Velocity of Occupant with Respect to Vehicle after Collision Formula

Relative Velocity of Occupant after Collision = Initial Velocity before Collision*sqrt(Stopping Distance of Occupant/Stopping Distance of Vehicle)
Vr = Vo*sqrt(δocc/d)

How will the occupant velocity change during collision?

Relative velocity of occupant after collision is defined as the velocity of the occupant at any time during the collision of vehicle. The velocity of the occupant will take more time to come to zero than the vehicle velocity. It is because the vehicle will come to a stop after collision but the occupant will keep on moving with velocity that is equal to the vehicle velocity before collision.

How to Calculate Velocity of Occupant with Respect to Vehicle after Collision?

Velocity of Occupant with Respect to Vehicle after Collision calculator uses Relative Velocity of Occupant after Collision = Initial Velocity before Collision*sqrt(Stopping Distance of Occupant/Stopping Distance of Vehicle) to calculate the Relative Velocity of Occupant after Collision, The Velocity of occupant with respect to vehicle after collision formula is defined as the velocity of the occupant at any time during the collision of vehicle. Relative Velocity of Occupant after Collision is denoted by Vr symbol.

How to calculate Velocity of Occupant with Respect to Vehicle after Collision using this online calculator? To use this online calculator for Velocity of Occupant with Respect to Vehicle after Collision, enter Initial Velocity before Collision (Vo), Stopping Distance of Occupant occ) & Stopping Distance of Vehicle (d) and hit the calculate button. Here is how the Velocity of Occupant with Respect to Vehicle after Collision calculation can be explained with given input values -> 9.296697 = 11*sqrt(0.215/0.301).

FAQ

What is Velocity of Occupant with Respect to Vehicle after Collision?
The Velocity of occupant with respect to vehicle after collision formula is defined as the velocity of the occupant at any time during the collision of vehicle and is represented as Vr = Vo*sqrt(δocc/d) or Relative Velocity of Occupant after Collision = Initial Velocity before Collision*sqrt(Stopping Distance of Occupant/Stopping Distance of Vehicle). Initial Velocity before Collision is defined as the velocity of the vehicle just before its collision with a static object, Stopping Distance of Occupant is defined as the distance covered by occupant from the time the vehicle crashes to the time it comes to rest after collision & Stopping Distance of Vehicle is defined as the distance covered by the vehicle after its crash from a fixed obstacle.
How to calculate Velocity of Occupant with Respect to Vehicle after Collision?
The Velocity of occupant with respect to vehicle after collision formula is defined as the velocity of the occupant at any time during the collision of vehicle is calculated using Relative Velocity of Occupant after Collision = Initial Velocity before Collision*sqrt(Stopping Distance of Occupant/Stopping Distance of Vehicle). To calculate Velocity of Occupant with Respect to Vehicle after Collision, you need Initial Velocity before Collision (Vo), Stopping Distance of Occupant occ) & Stopping Distance of Vehicle (d). With our tool, you need to enter the respective value for Initial Velocity before Collision, Stopping Distance of Occupant & Stopping Distance of Vehicle 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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