Objects A and B are at the origin. If object A moves to #(-8 ,7 )# and object B moves to #(-6 ,-4 )# 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 · 2018-01-29T06:55:39

The relative velocity is #= < 2/3, -11/3> ms^-1#

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The absolute velocity of #A# is #v_A=1/3<-8,7> = <-8/3, 7/3> #

The absolute velocity of #B# is #v_B=1/3<-6,-4> = <-6/3, -4/3>#

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

#v_(B//A)=v_B-v_A =<-6/3, -4/3> - <-8/3, 7/3> #

#=< -6/3+8/3, -4/3-7/3>#

#= < 2/3, -11/3> ms^-1#