Objects A and B are at the origin. If object A moves to #(-8 ,-5 )# and object B moves to #(-1 ,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 · 2017-08-09T06:34:59

The relative velocity is #= <7/3, 3> ms^-1#

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The absolute velocity of #A# is #v_A=1/3<-8,-5> = <-8/3,-5/3>#

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

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

#v_(B//A)=v_B-v_A= <-1/3,4/3> - <-8/3,-5/3> = <-1/3+8/3, 4/3+5/3>#

#= <7/3, 3> ms^-1#