Calculator/Speed Converter/ Relative Speed Calculator

Relative velocity is the velocity of one object observed with respect to another object as a reference. This calculator helps you visually understand relative velocity in various scenarios with real-time simulation.

Scenario Selection
Real-time Simulation
3D Mode
Real-time Information
Relative Speed 0 km/h
Distance 0 m
Time to Meet -
Status -
Velocity Vector Diagram

Advanced Input Settings


Object 1
Object 2

Relative Velocity Learning Guide

What is Relative Velocity?

Relative velocity is velocity that varies depending on the observers state of motion. The velocity seen by a stationary observer differs from the velocity seen by a moving observer.

Everyday Life Example

The velocity of a person walking in a train appears to a passenger in the train as just the walking speed, but to a person standing at the station as walking speed + train speed.

Key Principles
  • All motion is relative
  • Velocity changes according to the reference coordinate system
  • Calculated by vector sum and difference
  • Galilean transformations apply

Relative Velocity Calculation Formulas

1-dimensional Motion (Linear Motion)
Same Direction: V_rel = |V₁ - V₂|
Opposite Direction: V_rel = V₁ + V₂
2-dimensional Motion (Planar Motion)
V̅_AB = V̅_A - V̅_B (Vector Difference)
3-dimensional Motion (Spatial Motion)
V_rel = √[(Vx₁-Vx₂)² + (Vy₁-Vy₂)² + (Vz₁-Vz₂)²]

Real-life Relative Velocity Examples

Highway Overtaking Situation

When Car A travels at 110 km/h and Car B at 90 km/h in the same direction, the relative velocity of Car B felt by Car As driver is -20 km/h. This means Car B appears to be moving backward at 20 km/h.

Train Crossing

When two trains move in opposite directions at 100 km/h each, the other train appears from one train to be passing at 200 km/h.

Boat Crossing River

When a boat crosses perpendicular to a river with 5 km/h current at 10 km/h, the actual velocity of the boat as seen from ground is approximately 11.2 km/h.

Application Areas of Relative Velocity

Transportation and Traffic
  • Vehicle overtaking time calculation
  • Maintaining safe distance
  • Traffic flow analysis
Aviation and Maritime
  • Aircraft ground speed calculation
  • Ship current correction
  • Aerial refueling operations

Understanding Relative Velocity for Safety

Driving Precautions

When overtaking, relative velocity should be considered to ensure sufficient distance and time. Especially when overtaking large vehicles, more time is needed.

Safety Tips
  • Check distance with oncoming vehicles before overtaking
  • Consider reduced relative velocity in rainy weather
  • Be aware of difficulty perceiving speed during night driving
  • Match speed with main road vehicles when entering highway