Enter the velocity and angles of up to 5 different velocity vectors into the calculator to determine the net velocity.

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## Net Velocity Formula

The following equation is used to calculate the Net Velocity.

Vx = V1*cos(a1) + V2*cos(a2) + …

Vy = V1*sin(a1) +V2*sin(a2) +…

Vmag = SQRT(Vx^2 + Vy^2)

- Where Vx is the net x-velocity
- Vy is the net y velocity
- V1 – V5 are the individual velocities
- a1 – a5 are the angle of the velocities
- Vmag is the magnitude of the net velocity

## What is a Net Velocity?

Definition:

A net velocity is defined as the total magnitude and direction of the summation of 2 or more velocity vectors.

## How to Calculate Net Velocity?

Example Problem:

The following example outlines the steps and information needed to calculate Net Velocity.

In this example we will look at the net velocity of two different velocity vectors.

Vector 1 = 5 m/s @ 20 degrees

Vector 2 = 10 m/s @ 60 degrees

Using the formula above we find:

Vx = 5*cos(20deg) + 10*cos(60deg) = 9.69 m/s

Vy = 5*sin(20deg) +10*sin(60deg) = 10.37 m/s

Vmag = sqrt(9.69^2 + 10.37^2) = 14.19 m/s