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 the velocity of an occupant in a vehicle after a collision, indicating the severity of the impact.
Initial Velocity before Collision - (Measured in Meter per Second) - Initial Velocity before Collision is the velocity of a vehicle just before it collides with another vehicle or object, affecting the outcome of the collision.
Stopping Distance of Occupant - (Measured in Meter) - Stopping Distance of Occupant is the total distance travelled by the occupant from the time of collision to the time of complete stop.
Stopping Distance of Vehicle - (Measured in Meter) - Stopping Distance of Vehicle is the total distance travelled by a vehicle from the point of detecting a hazard to the point of coming to a complete stop.
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: 0.3009 Meter --> 0.3009 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Vr = Vo*sqrt(δocc/d) --> 11*sqrt(0.215/0.3009)
Evaluating ... ...
Vr = 9.29824148870741
STEP 3: Convert Result to Output's Unit
9.29824148870741 Meter per Second --> No Conversion Required
FINAL ANSWER
9.29824148870741 9.298241 Meter per Second <-- Relative Velocity of Occupant after Collision
(Calculation completed in 00.020 seconds)

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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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After Collision Calculators

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​ LaTeX ​ Go Kinetic Energy After Impact = (1/2)*((Mass of First Particle*(Final Velocity of First Mass^2))+(Mass of Second Particle*(Final Velocity of Second Mass^2)))
Velocity of separation after impact
​ LaTeX ​ Go Velocity of Separation = Coefficient of Restitution*(Initial Velocity of First Mass-Initial Velocity of Second Mass)
Final Velocity after Collision in x-Direction
​ LaTeX ​ Go Final Velocity after Collision in X-Direction = Total Momentum X-Direction after Collision/Total Mass of Colliding Vehicles
Final Velocity of Vehicle after Collision
​ LaTeX ​ Go Final Velocity of Vehicle after Collision = Momentum of Two Vehicles after Collision/Total Mass of Two Vehicles

Velocity of Occupant with Respect to Vehicle after Collision Formula

​LaTeX ​Go
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, Velocity of Occupant with Respect to Vehicle after Collision formula is defined as a measure of the velocity of an occupant relative to the vehicle after a collision, which is crucial in understanding the severity of the impact and the resulting injuries. 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 -> 9.298241 = 11*sqrt(0.215/0.3009).

FAQ

What is Velocity of Occupant with Respect to Vehicle after Collision?
Velocity of Occupant with Respect to Vehicle after Collision formula is defined as a measure of the velocity of an occupant relative to the vehicle after a collision, which is crucial in understanding the severity of the impact and the resulting injuries 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 the velocity of a vehicle just before it collides with another vehicle or object, affecting the outcome of the collision, Stopping Distance of Occupant is the total distance travelled by the occupant from the time of collision to the time of complete stop & Stopping Distance of Vehicle is the total distance travelled by a vehicle from the point of detecting a hazard to the point of coming to a complete stop.
How to calculate Velocity of Occupant with Respect to Vehicle after Collision?
Velocity of Occupant with Respect to Vehicle after Collision formula is defined as a measure of the velocity of an occupant relative to the vehicle after a collision, which is crucial in understanding the severity of the impact and the resulting injuries 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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