1. What is Resulting Velocity?

The resulting velocity is the vector sum of two perpendicular velocity components (v_x and v_y). It represents the actual speed and direction of an object moving in two dimensions.

2. How Does the Calculator Work?

The calculator uses the Pythagorean theorem:

Where:

• \( v_{res} \) — Resulting velocity (m/s)
• \( v_x \) — Velocity in x-direction (m/s)
• \( v_y \) — Velocity in y-direction (m/s)

Explanation: The equation calculates the magnitude of the velocity vector from its horizontal and vertical components.

3. Importance of Resulting Velocity

Details: Calculating resulting velocity is essential in physics, engineering, and navigation to determine the actual speed of objects moving in two dimensions.

4. Using the Calculator

Tips: Enter both velocity components in meters per second (m/s). The calculator will compute the magnitude of the resulting velocity vector.

5. Frequently Asked Questions (FAQ)

Q1: What if the velocities aren't perpendicular?
A: This calculator assumes perpendicular components. For non-perpendicular vectors, you would need to use vector addition formulas.

Q2: Can this be used for 3D vectors?
A: No, this is for 2D only. For 3D, you would need to include a z-component: \( v_{res} = \sqrt{v_x^2 + v_y^2 + v_z^2} \).

Q3: What units should I use?
A: The calculator uses meters per second (m/s), but any consistent units will work in the formula.

Q4: Does this account for direction?
A: This calculates magnitude only. For direction, you would need to calculate the angle using arctangent.

Q5: What's the difference between speed and velocity here?
A: This calculates the magnitude of the velocity vector, which is equivalent to speed when direction isn't considered.