Direction of Final Velocity of Vehicles after Collision Calculator

✖Final Velocity after Collision in Y-Direction is the velocity of an object after a collision in the y-direction, describing the resulting motion of the vehicle.ⓘ Final Velocity after Collision in Y-Direction [V_fy]			+10% -10%
✖Final Velocity after Collision in X-Direction is the velocity of an object after a collision in the x-direction, describing the resulting motion of the vehicle.ⓘ Final Velocity after Collision in X-Direction [V_fx]			+10% -10%

✖Direction of Final Velocity is the direction in which a vehicle is moving after a collision, indicating the resulting trajectory of the vehicle.ⓘ Direction of Final Velocity of Vehicles after Collision [θ]

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Formula

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Direction of Final Velocity of Vehicles after Collision

Formula

θ = a \tan (\frac{V fy}{V fx})

Example

56.3496 ° = a \tan (\frac{6.67 m/s}{4.44 m/s})

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Direction of Final Velocity of Vehicles after Collision Solution

STEP 0: Pre-Calculation Summary

Formula Used

Direction of Final Velocity = atan(Final Velocity after Collision in Y-Direction/Final Velocity after Collision in X-Direction)
θ = atan(V_fy/V_fx)
This formula uses 2 Functions, 3 Variables

Functions Used

tan - The tangent of an angle is a trigonometric ratio of the length of the side opposite an angle to the length of the side adjacent to an angle in a right triangle., tan(Angle)
atan - Inverse tan is used to calculate the angle by applying the tangent ratio of the angle, which is the opposite side divided by the adjacent side of the right triangle., atan(Number)

Variables Used

Direction of Final Velocity - (Measured in Radian) - Direction of Final Velocity is the direction in which a vehicle is moving after a collision, indicating the resulting trajectory of the vehicle.
Final Velocity after Collision in Y-Direction - (Measured in Meter per Second) - Final Velocity after Collision in Y-Direction is the velocity of an object after a collision in the y-direction, describing the resulting motion of the vehicle.
Final Velocity after Collision in X-Direction - (Measured in Meter per Second) - Final Velocity after Collision in X-Direction is the velocity of an object after a collision in the x-direction, describing the resulting motion of the vehicle.

STEP 1: Convert Input(s) to Base Unit

Final Velocity after Collision in Y-Direction: 6.67 Meter per Second --> 6.67 Meter per Second No Conversion Required
Final Velocity after Collision in X-Direction: 4.44 Meter per Second --> 4.44 Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

θ = atan(V_fy/V_fx) --> atan(6.67/4.44)

Evaluating ... ...

θ = 0.983486004202849

STEP 3: Convert Result to Output's Unit

0.983486004202849 Radian -->56.3495972510194 Degree (Check conversion here)

FINAL ANSWER

56.3495972510194 ≈ 56.3496 Degree <-- Direction of Final Velocity

(Calculation completed in 00.004 seconds)

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Credits

Created by Syed Adnan

Ramaiah University of Applied Sciences (RUAS), bangalore

Syed Adnan has created this Calculator and 200+ more calculators!

Verified by Kartikay Pandit

National Institute Of Technology (NIT), Hamirpur

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< After Collision Calculators

Total kinetic energy of two bodies after impact

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

Go Velocity of Separation = Coefficient of Restitution*(Initial Velocity of First Mass-Initial Velocity of Second Mass)

Final Velocity after Collision in x-Direction

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

Go Final Velocity of Vehicle after Collision = Momentum of Two Vehicles after Collision/Total Mass of Two Vehicles

Direction of Final Velocity of Vehicles after Collision Formula

Direction of Final Velocity = atan(Final Velocity after Collision in Y-Direction/Final Velocity after Collision in X-Direction)
θ = atan(V_fy/V_fx)

What can be the direction of Final Velocity after Collision?

The resultant velocity due to the summation of velocities of x-direction and y-direction will act in a particular direction. This could be found by the Pythagorean theorem by considering the angle between the resultant velocity and the horizontal x-direction. Once this angle is calculated, the direction in which the resultant velocity is acting can be predicted.

How to Calculate Direction of Final Velocity of Vehicles after Collision?

Direction of Final Velocity of Vehicles after Collision calculator uses Direction of Final Velocity = atan(Final Velocity after Collision in Y-Direction/Final Velocity after Collision in X-Direction) to calculate the Direction of Final Velocity, Direction of Final Velocity of Vehicles after Collision formula is defined as the angle at which a vehicle moves after a collision, providing insight into the resulting motion and helping to analyze the dynamics of the impact. Direction of Final Velocity is denoted by θ symbol.

How to calculate Direction of Final Velocity of Vehicles after Collision using this online calculator? To use this online calculator for Direction of Final Velocity of Vehicles after Collision, enter Final Velocity after Collision in Y-Direction (V_fy) & Final Velocity after Collision in X-Direction (V_fx) and hit the calculate button. Here is how the Direction of Final Velocity of Vehicles after Collision calculation can be explained with given input values -> 3228.594 = atan(6.67/4.44).

FAQ

What is Direction of Final Velocity of Vehicles after Collision?

Direction of Final Velocity of Vehicles after Collision formula is defined as the angle at which a vehicle moves after a collision, providing insight into the resulting motion and helping to analyze the dynamics of the impact and is represented as θ = atan(V_fy/V_fx) or Direction of Final Velocity = atan(Final Velocity after Collision in Y-Direction/Final Velocity after Collision in X-Direction). Final Velocity after Collision in Y-Direction is the velocity of an object after a collision in the y-direction, describing the resulting motion of the vehicle & Final Velocity after Collision in X-Direction is the velocity of an object after a collision in the x-direction, describing the resulting motion of the vehicle.

How to calculate Direction of Final Velocity of Vehicles after Collision?

Direction of Final Velocity of Vehicles after Collision formula is defined as the angle at which a vehicle moves after a collision, providing insight into the resulting motion and helping to analyze the dynamics of the impact is calculated using Direction of Final Velocity = atan(Final Velocity after Collision in Y-Direction/Final Velocity after Collision in X-Direction). To calculate Direction of Final Velocity of Vehicles after Collision, you need Final Velocity after Collision in Y-Direction (V_fy) & Final Velocity after Collision in X-Direction (V_fx). With our tool, you need to enter the respective value for Final Velocity after Collision in Y-Direction & Final Velocity after Collision in X-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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