Relative velocity in Two Dimension
we have already seen the
Relative Velocity in 1D motion.Lets see how to define it in two -dimensional motion
For two objects A and B moving with the uniform velocities
VA and
VB.
Relative velocity is defined as
VBA=
VB-
VA
where
VBA is relative velocity of B relative to A
Similarly relative velocity of A relative to B
VAB=
VA-
VB
we will need to add or subtracting components along x & y direction to get the relative velocity
Suppose
vA=v
xai + v
yaj
vB=v
xbi + v
ybj
Relative velocity of B relative to A
=v
xbi + v
ybj -(v
xai + v
yaj)
=
i(v
xb-v
xa) +
j(v
yb-v
ya)
For three dimensions motion
vA=v
xai + v
yaj +v
zaz
vB=v
xbi + v
ybj + v
zbz
Relative velocity of B relative to A
=v
xbi + v
ybj + v
zbz -(v
xai + v
yaj +v
zaz)
=
i(v
xb-v
xa) +
j(v
yb-v
ya)+
z(v
yb-v
ya)
link to this page by copying the following text
Also Read
Go back to Class 11 Main Page using below links
Class 11 Maths
Class 11 Physics
Class 11 Chemistry
Class 11 Biology
