Objects A and B are at the origin. If object A moves to #(-3 ,-8 )# and object B moves to #(1 ,-1 )# over #8 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 · 2017-08-17T06:08:29

The relative velocity is #=<1/2, 7/8>#

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

The absolute velocity of #B# is #v_B=1/8<1,-1> = <1/8,-1/8>#

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

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

#= <1/2, 7/8>#