Objects A and B are at the origin. If object A moves to #(-7 ,3 )# 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.

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Answer 1 · 2017-07-01T08:42:40

The relative velocity is #=<1/3, -4/3>#

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The absolute velocity of #A# is #v_A=1/3<-7,3> = <-7/3,1>#

The absolute velocity of #B# is #v_B=1/3<-6,-1> = <-2,-1/3>#

The relatve velocity of #B# with respect to #A# is

#v_(B//A)=v_B-v_A=<-2,-1/3> - <-7/3,1>#

#=<-2+7/3, -1/3-1>#

#=<1/3, -4/3>#