Objects A and B are at the origin. If object A moves to #(-4 ,7 )# and object B moves to #(6 ,0 )# 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 · 2017-05-09T09:15:55

The relative velocity is #=(10/3veci-7/3vecj)ms^-1#

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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<6,0> = <2,0>#

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

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

#= <2,0 > - <-4/3,7/3>#

#=<10/3,-7/3>#