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Relative Velocity

Relative velocity is given by time rate of change of position of one object wrt another. Relative velocity of a body B with respect to some other body A means velocity of B as recorded by an observer sitting on A. Mathematically,
 
Relative velocity of B wrt A: 32765.png
 
32759.png
Fig. 1

Graphical method to find relative velocity

When two bodies move at an angle θ with each other, then their relative velocity is given by:
 
32752.png
Fig. 2

Magnitude

32745.png

Direction

32739.png
 
32733.png
 
Note: If θ = 90°, then 32948.png and 32941.png.




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