Physics

Resultant Velocity Calculator

Combine two velocity components into magnitude and direction.

Velocity x

Velocity y

Calculated Output

Resultant speed 10

Direction (°) 53.13

Formula: v = √(vₓ² + v_y²), θ = atan2(v_y, vₓ)

Step-by-Step Breakdown

1. Values used:

2. Velocity x = 6

3. Velocity y = 8

5. Resultant speed = 10

6. Direction = 53.13°

Did this calculator solve your problem today?

The math behind it

Combine the components with the Pythagorean theorem; the direction is atan2(v_y, vₓ).

(6, 8) m/s → 10 m/s at about 53.13°.

What if components aren't perpendicular?

Resolve each into x and y first, then add the components.