Objects A and B are at the origin. If object A moves to #(-4 ,7 )# and object B moves to #(6 ,-5 )# 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 · 2017-04-10T06:48:50

The relative velocity is #=<10/3,-4>#

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The absolute velocity of #A# is

#vecv_A=1/3<-4,7>=<-4/3,7/3>#

The absolute velocity of #B# is

#vecv_B=1/3<6,-5>=<6/3,-5/3>#

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

#vecv_(B//A)=vecv_B-vecv_A#

#=<6/3,-5/3> - <-4/3,7/3>#

#=<10/3,-12/3>#