2D Vector Velocity & Kinematics Calculator
Decompose velocity magnitude (speed) and direction (angle) into X and Y orthogonal components.
Last reviewed by the myCalculator Editorial Team
Input Parameters
Calculation Results
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Formula & How 2D Vector Velocity & Kinematics Calculator Works
A velocity has a magnitude and a direction, and you can split it into perpendicular components: vx = v × cos(θ) and vy = v × sin(θ), with θ measured from the horizontal axis. A ball thrown at 50 m/s at 30° above horizontal has vx = 50 × 0.866 = 43.3 m/s and vy = 50 × 0.5 = 25 m/s. Going the other way, the magnitude is √(vx² + vy²) and the angle is the arctangent of vy ÷ vx. This is the same method used to resolve a wind into headwind and crosswind components in aviation, where the angle is measured between the wind and the track. Components can be added independently, which simplifies two-dimensional problems.
- Enter Vector Magnitude / Speed: Input your target parameter value.
- Enter Direction / Angle (degrees °): Input your target parameter value.
- Apply Formula: Calculate using
v_x = v × cos(θ) | v_y = v × sin(θ) | |v| = √(v_x² + v_y²). - Review Results: View exact computed answers, metrics, and worked mathematical proofs.
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MyCalculator.com.au. (2026). 2D Vector Velocity & Kinematics Calculator. Retrieved October 24, 2026, from https://www.mycalculator.com.au/calculators/physics/vector-velocity
MyCalculator.com.au. (2026) '2D Vector Velocity & Kinematics Calculator'. Available at: https://www.mycalculator.com.au/calculators/physics/vector-velocity (Accessed: 24 October 2026).
Frequently Asked Questions (FAQs)
What is the difference between speed and velocity?
Speed is a scalar quantity (magnitude only, e.g. 100 km/h), while velocity is a vector quantity (speed + direction, e.g. 100 km/h at 030°).
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Calculations and mathematical logic on this page are grounded in published statutory rules, regulatory standards, and official government data published by the following bodies:
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