Objects A and B are at the origin. If object A moves to #(-1 ,6 )# and object B moves to #(6 ,-12 )# 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 · 2017-06-12T14:57:09

The relative velocity is #= <7/3, -6>ms^-1#

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The absolute velocity of #A# is

#v_A=1/3<-1,6> = <-1/3,2>#

The absolute velocity of #B# is

#v_B=1/3<6,-12> = <2,-4>#

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

#v_(B//A)=v_B-v_A= <2,-4> - <-1/3,2>#

#= <7/3, -6>ms^-1#