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The velocity of approach refers to the relative velocity at which two objects are moving towards each other just before they interact or collide. Check FAQs
vapp=v2-v1e
vapp - Velocity of Approach?v2 - Final Velocity of Second Mass?v1 - Final Velocity of First Mass?e - Coefficient of Restitution?

Velocity of approach Example

With values
With units
Only example

Here is how the Velocity of approach equation looks like with Values.

Here is how the Velocity of approach equation looks like with Units.

Here is how the Velocity of approach equation looks like.

8Edit=20Edit-16Edit0.5Edit
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Velocity of approach Solution

Follow our step by step solution on how to calculate Velocity of approach?

FIRST Step Consider the formula
vapp=v2-v1e
Next Step Substitute values of Variables
vapp=20m/s-16m/s0.5
Next Step Prepare to Evaluate
vapp=20-160.5
LAST Step Evaluate
vapp=8m/s

Velocity of approach Formula Elements

Variables
Velocity of Approach
The velocity of approach refers to the relative velocity at which two objects are moving towards each other just before they interact or collide.
Symbol: vapp
Measurement: SpeedUnit: m/s
Note: Value should be greater than 0.
Final Velocity of Second Mass
Final Velocity of Second Mass is the velocity which the body has at the end of the given time period.
Symbol: v2
Measurement: SpeedUnit: m/s
Note: Value can be positive or negative.
Final Velocity of First Mass
Final Velocity of First Mass is the velocity which the body has at the end of the given time period.
Symbol: v1
Measurement: SpeedUnit: m/s
Note: Value can be positive or negative.
Coefficient of Restitution
The Coefficient of Restitution is the ratio of impulse during restitution period to the impulse during deformation period.
Symbol: e
Measurement: NAUnit: Unitless
Note: Value can be positive or negative.

Other Formulas to find Velocity of Approach

​Go Velocity of approach in indirect impact of body with fixed plane
vapp=ucos(θi)

Other formulas in During Collision category

​Go Loss of kinetic energy during impact
KE=(12)(((m1(u12))+(m2(u22)))-((m1(v12))+(m2(v22))))
​Go Velocity of separation in indirect impact of body with fixed plane
vsep=vfcos(θf)
​Go Bump Force of Car
Fbump=τL
​Go Constant Deceleration of Vehicle during Collision
Av=0.5Vo2d

How to Evaluate Velocity of approach?

Velocity of approach evaluator uses Velocity of Approach = (Final Velocity of Second Mass-Final Velocity of First Mass)/(Coefficient of Restitution) to evaluate the Velocity of Approach, The Velocity of approach formula is defined as the ratio of difference of final velocity of second body and final velocity of first body to the coefficient of restitution. Velocity of Approach is denoted by vapp symbol.

How to evaluate Velocity of approach using this online evaluator? To use this online evaluator for Velocity of approach, enter Final Velocity of Second Mass (v2), Final Velocity of First Mass (v1) & Coefficient of Restitution (e) and hit the calculate button.

FAQs on Velocity of approach

What is the formula to find Velocity of approach?
The formula of Velocity of approach is expressed as Velocity of Approach = (Final Velocity of Second Mass-Final Velocity of First Mass)/(Coefficient of Restitution). Here is an example- 8 = (20-16)/(0.5).
How to calculate Velocity of approach?
With Final Velocity of Second Mass (v2), Final Velocity of First Mass (v1) & Coefficient of Restitution (e) we can find Velocity of approach using the formula - Velocity of Approach = (Final Velocity of Second Mass-Final Velocity of First Mass)/(Coefficient of Restitution).
What are the other ways to Calculate Velocity of Approach?
Here are the different ways to Calculate Velocity of Approach-
  • Velocity of Approach=Initial Velocity of Mass*cos(Angle between Initial Velocity and Line of Impact)OpenImg
Can the Velocity of approach be negative?
No, the Velocity of approach, measured in Speed cannot be negative.
Which unit is used to measure Velocity of approach?
Velocity of approach is usually measured using the Meter per Second[m/s] for Speed. Meter per Minute[m/s], Meter per Hour[m/s], Kilometer per Hour[m/s] are the few other units in which Velocity of approach can be measured.
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