Objects A and B are at the origin. If object A moves to #(-3 ,1 )# and object B moves to #(12 ,3 )# 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.

1 Answer
P dilip_k
Mar 12, 2016

#=1/3(15hati+2hatj)ms^-1#

Explanation:

Velocity vector of A = #vecV_A=vecr_A/t=1/3(-3hati+hatj)ms^-1#
Velocity vector of B = #vecV_B=vecr_B/t=1/3(12hati+3hatj)ms^-1#
Hence relative velocity of B from the perspective of A is
#vecV_(BA)=vecV_B-vecV_A=1/3(15hati+2hatj)ms^-1#

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