Objects A and B are at the origin. If object A moves to #(-6 ,7 )# and object B moves to #(-6 ,-1 )# over #3 s#, what is the relative velocity of object B from the perspective of object A? Assume that all units are denominated in meters.
Relative velocity is a vector quantity. Lets check component wise:
Both the bodies have moved to the same vertical line, namely
#x= -6#line. Hence their x-components of the velocities are same.
The distance between their final positions is:
#(7-(-1)) = 8" m"#
Hence the relative velocity along y-axis is:
Hence the relative velocity is
In 3s displacement of A from (0.0) to (-6,7)
Velocity of A ,
In 3s displacement of B from (0.0) to (-6,-1)
Velocity of B,
The relative velocity of object B from the perspective of object A
So magnitude of relative velocity is