mycalculator.com.au logomycalculator.
Physics ToolNew

2D Vector Velocity & Kinematics Calculator

Decompose velocity magnitude (speed) and direction (angle) into X and Y orthogonal components.

Input Parameters

Calculation Results

X-Component (Horizontal / East-West)
86.6 units
Y-Component (Vertical / North-South)
50 units
Vector Magnitude (|v|)
100 units
Vector Direction (θ)
30°
Summary: Velocity vector of 100 at 30° decomposes into X = 86.6 and Y = 50.
Step-by-Step Calculation Solution
1.Horizontal Component v_x = v × cos(θ) = 100 × cos(30°) = 86.6
2.Vertical Component v_y = v × sin(θ) = 100 × sin(30°) = 50
3.Magnitude |v| = √(v_x² + v_y²) = √(86.6² + 50²) = 100

Formula & How 2D Vector Velocity & Kinematics Calculator Works

Mathematical Formula
v_x = v × cos(θ) | v_y = v × sin(θ) | |v| = √(v_x² + v_y²)

Velocity is a vector quantity requiring both magnitude (speed) and direction (angle). Trigonometric sine and cosine functions resolve 2D motion into perpendicular coordinate axes.

How to Calculate 2D Vector Velocity & Kinematics Calculator (Step-by-Step)
  1. Enter Vector Magnitude / Speed: Input your target parameter value.
  2. Enter Direction / Angle (degrees °): Input your target parameter value.
  3. Apply Formula: Calculate using v_x = v × cos(θ) | v_y = v × sin(θ) | |v| = √(v_x² + v_y²).
  4. Review Results: View exact computed answers, metrics, and worked mathematical proofs.
Free Publisher & Webmaster Asset

Need this calculator for your blog, publication, or client portal?

Get pre-formatted embed codes, Markdown citations for forums (Reddit/Whirlpool), or HTML anchor tags free.

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°).

Official Regulatory & Government Data Sources

Authoritative Standards & Verified Reference Citations

Independent & Verified

Calculations and mathematical logic on this page are grounded in published statutory rules, regulatory standards, and official government data published by the following bodies:

Australian Government Data Portal (data.gov.au)Government
Commonwealth of Australia

Open government data, scientific datums, and public sector mathematical reference datasets.

data.gov.au
National Measurement Institute (NMI)Government
Australian Department of Industry, Science and Resources

Australia's national authority on physical, chemical, and biological metric measurement standards.

www.industry.gov.au/national-measurement-institute

Related Calculation Tools

Mortgage Calculator illustration
Home Loans
Most used
Australian rules Updated 2026

Mortgage Calculator

Borrowing power, repayments and refinance — modelled on current Australian lender criteria.

mymortgagecalculator.com.auOpen
Tax Calculator illustration
Tax
Popular
ATO 2025/2026 Fast results

Tax Calculator

PAYG, sole trader and capital gains — updated for the current Australian tax year.

mytaxcalculator.com.auOpen
Stamp Duty Calculator illustration
Home Loans
New
Australian rules Updated 2026

Stamp Duty Calculator

State-by-state transfer duty for all 8 Australian states — FHB concessions, FHOG & conveyancing. Updated 2026.

mycalculator.com.auOpen
SponsoredMortgage Hub

Dedicated Australian home loans, borrowing capacity, mortgage repayments & refinance modeling.

Advertise here →